Protect electrical outlets by removing outlet covers and applying a piece of electrical tape over the outlets. Cover the floor and furniture with a heavy plastic or moisture-proof drop cloth to prevent water damage.
Purchase an adhesive remover and mix the remover with hot water. Another option for removing the glue is to mix 1 cup of white vinegar with 1 gallon of hot water. Pour the mixture into a bottle sprayer to apply it to the wall.
Apply the remover to the glue by spraying the liquid on the glue to soften it. Avoid soaking the Sheetrock too much, as this may cause damage requiring you to replace the Sheetrock.
Use the wide edge of the putty knife to scrape the glue from the Sheetrock. Apply more liquid for hard-to-remove spots. Gently work the adhesive off to avoid damage to the Sheetrock. For stubborn glue spots, use medium-grit sandpaper to sand away the glue.
Wipe off any excess glue with a wet sponge.