You have an easy job that is kind of fun to do. Assuming that your drywall was painted before the border was put up, just get a sponge, bucket, white vinegar or DIF and a 1" stiff putty knife. Put about a cup of the vinegar in a gallon of water, soak the sponge and put the damp sponge on the paper. Let it soak for a few minutes and gently scrape the paper off. Try real hard not to scratch the wall, and if the paper has soaked long enough, you will not have to. When the paper is off, continue using the sponge to get the rest of the paste off the wall. Work on about 4 feet at a time.
If you have vinyl or metallic paper, you will have to pull the top layer off so you can get the water to work under these water resistant materials. You will probably find a loose corner somewhere where you can start pulling the vinyl or metallic layer of paper off. Have fun :o) Henry