The water draining from our washer is causing our shower drain and toilet to goggle, or cause air bubbles. Please help.

That happened to me also last year, I flushed the drains with industial drain cleaner that I purchased at the hardware store and all was well

We need to move you to plumbing so folks who know about plumbing repair can see your question. Appears that you have a partially clogged drain and the vent may also need rodding from the roof. Do you have a clean out on the main drain line?