I an remodeling a kitchen and installing an under-mount sink. The sink is deeper and being under-mounted, the drain connection is now lower. I do not have a dishwasher, so the current dishwasher connection is a dishwasher drain fitting between the sink drain and the p-trap, in that vertical pipe run. With the new deeper sink, this fitting (about 3-4" long) will have to be removed. I may be able to install it under the side sink (which is not quite as deep), or in the horizontal drain coming from it. My concern is that the water may back up in the other sink. The only other option may be to tear out the wall and try to lower the drain connection for my p-trap. Can you give me some guidance here?