If the clog involves toilet paper, I'd rather not put a brush in that. Here's how I use a plunger effectively: Submerge it and then angle it to swap out some air for liquid, so you have more mass to push into the pipe. Tip it back upright, then slowly push down, relax and let the bell fill back up with water, and repeat, finding a resonant frequency where the pushed water doesn't just jet out the sides (due to imperfect seal) but because there's a pressure-wave action the clog gets moved in and out repeatedly until it breaks down enough for water to scoot by. Then one more flush to clean the plunger.