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Sue it takes a lot of patience! I did my kitchen a few years back and swore I'd near tackle a removal project again but here I am.
Here's an option that works if the paper is adhered to the wall solidly in the open areas. Where the edges are rolled up you can peel those back or the seams are noticeable then skim over them with sheetrock mud to fill in, once dry lightly sand smooth. Prime over the entire room with a Kilz oil based (no odor) primer, two coats minimum. I also thoroughly clean the walls with a mild soap and water solution before priming. Then use the paint of your choice. I've done a bedroom like this and you'd never know the walls had paper on them.
I was going to do the bathroom like this but got started peeling and was too far along to stop.
Drywall costs $8 per board. It costs about $22 per board to hang tape and finish it. That's $30 for every roughly 48 sq ft. Say 75c per foot including waste. A typical 8x5 bathroom with a shower at the end has roughly 150 sq ft of drywall when you consider a vanity, door and the bath tile surround.
Even if you pay double for the labor because it's a small job, It's a very inexpensive job and you won't be floating 3 coats to smooth the residual glue. You won't find that after you've floated it that now the mud won't stick to the old paper. You won't look back at having spent 2 weekends smoothing an unsmoothable surface.
Or not.