Its a prick of a design. Mine is a WD62. If you cant get the backing plate then get someone to tilt the machine right back and you can put your hand under to get it out. Then take the top off the machine(3 screws at the back). Then slide your soap tray right out,(put it to one side) you will then see 4 screws (Which hold in the other tray that holds the soap tray) take these out, you will then need to remove this white plastic tray to get your hand down the machine to reach the place were the backing plate goes.
Once u have taken the screws out slide the soap tray holder to the left or right (can't remember) it will then come loose. You will then need to slide it back to lift it out the way (No need to take the pipes off the back of it) you may need to push the whole drum back at the same time you are pushing back the soap holder (Be gentle but it will come out).
The holder should then lift up out the way, you can now get your hand down to hold the back plate on whilst you get a helper to affix the door. Make sure backing plate is on the right way, the screws will only go in one way (Check which way b4 u put it down into place). Then go backwards on all steps to put machine back together.
This sounds like a load of b*ll*cks but it worked for me and took about 15 minutes. Good luck!!
Dave liverpool, May 2009