Why does this happen to my walls in the laundry room and the adjoining

Are those spots where the dry wall screws are? It almost looks like mold in those spots.

From your picture they seem to be in pairs, which suggests nail pops to me. Are they smooth as the wall or are they protruding? If so, here's how to fix that:

https://www.thespruce.com/steps-for-repairing-drywall-nail-pops-1822835

Those are nail pops. How do you stop nail pops in drywall?

Positioning is key to the stability of the drywall and in preventing pops. Screws not set in far enough are easy to spot and correct, but screws set in too far are less noticeable and can pop once the drywall shifts. Make sure you check the depth of all your set screws and don't set any too far in.

1. With your putty knife, scrape away the raised drywall caused by the pop—being sure to clear away any loose debris.
2. Set a screw about a 1 ½ inches above or below the pop, pressing against the drywall and being sure to hit the stud. (This will refasten that section.) Sink the screw enough to dimple the drywall, but not far enough to tear the paper of the drywall.
3. Remove the old nail with the claw of your hammer, or if it’s a screw, unscrew it with drill.
4. To patch your repair, load the putty knife with joint compound or spackle. At an angle, press the compound into the hole while passing the blade diagonally (left to right) along the surface of the hole and wall. Be sure that the entire crack is filled, so go over it if you must.
5. Allow the patch to dry for several hours. Once it’s dry, check to see if the joint compound has shrunk leaving indentations. If this is the case, the patch will need another layer of compound. Repeat steps 3-5, only this time, pass the blade diagonally from right to left (this will fill in misses from the opposite direction—it works great).
6. Once it’s all white and powdery, you can sand it, being sure to smooth the edges where the patch meets the wall surface. Wipe the patch to clean off the dust.

Paint the repair with a primer or your matching flat wall color. If your wall has a shine to its paint finish, like egg-shell or semi-gloss, you must give it a coat of primer or flat paint first–paint that has a shine to its finish will “flash” directly over a patch, which means it will leave a visible difference in finish compared to the rest of the wall.

If those ARE nail pops, the vibration can make them loosen up. You can use drywall screws screwed about an inch from them making sure you hit studs. Pound the nails back in then drywall patching compound over it all. Sand smooth, prime and paint. If they are just discoloration from nails or screws and not protruding from the wall then they weren't covered with drywall compound. You can wipe them down with a damp cloth. Then use Kilz 2 or BIN 123 primer over the spots. Then touch up the paint or repaint.

It looks like the dry wall screws are coming through. My contractor banged them in and then drilled more screws into the wall. It then had to be spackled and painted again.

It’s a little hard to tell from the image what’s happening. If it appears as stains, you can use a primer over them then repaint. If it’s nails popping out, try to remove them and use screws instead, patch and paint.

Hello Suz, they are not necessarily nail pops, I have attached an article about how dirt and soot settle on beams and nails called ghosting . You may likely be able to clean them off with a good washing of the the walls and ceiling.

https://home-partners.com/articles/ghosting

Nail pops look like wall sores. Mud over the nail pop, sand, prime and paint.

It appears those are the heads of the screws or nails that were used to hang the drywall. It could have something to do with the conditions when it was hung. I would prime the walls with a blocking primer like Zinser Bullseye 1-2-3 then paint.

Looks like marks from screws/nails from the room on the other side. You could add some dry-wall compound over it, sand, and repaint to cover those spots.

https://www.youtube.com/watch?v=5aqCFnEMU7c this is info to help you out

To me it looks as if the finish on the screws or nails is bleeding through the paint. As mentioned above, a good primer could be used to cover the spots then repaint. I hope this helps!

Damp? Need more Air curculation or Extractor fan. Open a window?

Well it could be, I gave another alternative to nail pops. It is very difficult to see from the picture. Maybe try knocking the nails in further, or replace with screws and filler and then redecorative or touch in, in the bedroom and see if that solves the problem. If it does, repeat in the Laundry room. If not go for more ventilation in the Laundry Room and possibly cushion the wall or machine with Foam or Polystyrene to stop it knocking on the wall. Best wishes.

It looks like mold on the nail spots...or it could just be the nail spots, but I would check for mold before I just painted over it. You don't want it trapped in the wall.

They look like drywall screws which this can happen when the house settles.

Perhaps post another pic,,,, Cant see what the issue is

These are marks from screws .. at least that is what it looks like https://www.thespruce.com/steps-for-repairing-drywall-nail-pops-1822835

I don’t think they’re just nail pops. Something is causing the discoloration. I’d be tempted to cut the Sheetrock around one of the sets and remove it. See what’s really happening. You can patch the wall.