I had an aft cabin on Glory, forgot the actual cabin #, but never a problem with noise from inside or outside. The laundry room was more mid-ship, so a little walk there and they were on every other floor, so it may be on your deck or above/below.
The walk to the stairs/elevators was mid-ship as well, but not a terrible long walk. Enjoy that cabin.
We sailed on the Glory in Aug 2005 and our AFT Cabin #6489 (which is two cabins away) was absolutely the best. I can't think of any negatives associated with these types of cabins other than the balcony area had a tendency to get a little hot while the ship wasn't moving. As for noise or any other irritating sounds, there were none. Plus, with a short walk to the elevators or stairs we were only a couple decks from the AFT dining areas. If I recall correctly, the laundry room was located on the starboard side of the ship and relatively close to our cabin. I did take some movie clips from the balcony and I will share them with you if we can determine how I can get them to you. The bottom line is that we were extremely pleased with our choice of the AFT cabin. I hope that your experience is just as pleasant.
Nordic Empress 8/1996
Sovereign of the Seas 8/1998
Majesty of the Seas 4/2003