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Prepare the wallpaper for painting by securely gluing down loose edges. Wallpaper with holes and peeling patches can't be painted over (Image 1), but if the wallpaper's secure except for a few loose edges at the seams, seal each seam with a very strong glue (Image 2) and press down securely.
Apply two coats of stain-killing paint to completely cover the wallpaper pattern. Let dry between coats.
Note that painting over wallpaper is suitable only for wallpaper that's in good condition and securely in place.
If the wallpaper seam is visible after two coats of paint, lightly file the seam smooth with a very fine emery board.