Water is coming up through my sink side and the garbage disposal side. We have cleaned both traps on each side of the sink and snaked the pipe going into the wall. We have tried liquid plumber. The water will go down on the non disposal side but once we put water in the disposal side, it backs up and then comes up on the other side. The disposal sounds like it is running fine. Any suggestions please??

The reason You get water in the other tub when you run the disposal is because it's acting like a pump. Pumping from one side to the other.

We have cleaned both traps on each side of the sink and snaked the pipe going into the wall But you didn't get the clog because it's located downstream from where you're snaking.
The solution would be to snake from the kitchen roof vent. Put out enough to reach the base and 15 more feet, Good luck, Tom

I wiould agree with Tom but wonder just how much water can you drain down the non-disposal side. If toyu can drain limitless water on that side then please tell us, it will help us determine where the clog is located. Try dumping 2 or 3 buckets of water in that side and tell us what happens