I used the laundry room on Deck 6 this past January and it was not noisy at all, just the machines, but you could not hear it once you walked away.
Here is a list of the laundry rooms onboard:
Deck 2 across from 2096
Deck 6 across from 6588
Deck 7 across from 7596
I went to do laundry and 6:45 am on a sea day and had to go to all three to finally find one that had an empty machine. Be warned....they do get busy, and people do not appreciate it when you let your laundry sit too long after it is done. They will take it out and put it on the table (which, personally I think is fine). So many people need the machines, that folks have to realize to get back on time. There is a timer on the machines so you know exactly in how many minutes you need to get back to the laundry room.
Also, the change machine and detergent dispenser both run out frequently. We bring our own quarters and Whisk tablets with us when we cruise. WE also bring dryer sheets, as they do not sell them in the laundry room.
MJ