kitchen dual sink clogged

Mr. Love, I have a dual sink in my kitchen got clogged. one has garbage disposer. the other sink drain pipe goes into wall separately at a higher level than the disposer one. when i run the disposer, water comes out of the other sink. when i stop the disposer, water come back and stay even level in both sink. it takes a long time to drain a little water. I tried chemicals it works a little bit. I tried the snake and got about 5 foot into each one but it did not do anything. what can i do next?
Thanks!

drain

Call a plumber with the right snake. and do not use any more chemicals.

Both drains "wye" together and the clog is past that point; likely a case for a pro. To prevent if from happening again, run your disposer long before it gets filled, and toss heavy loads of food preparation or table wastes in the trash.

That is one of the most random internet postings I have ever read...