After trying a few methods to unclog a kitchen sink, I ended up disassembling the plumbing underneath my sink. After seeing the previous homeowner's handiwork up close, I've decided to replumb a dual basin sink w/ garbage disposal. However, the waste line for the sink is behind the garbage disposal and is limiting my options.
Are there any issues with this planned layout? The other basin will drain into the top of the wye fitting, and the wall discharge has a vent through to the roofline.
After FreeMan's comment highlighting the potential for the wye fitting to be marked noncompliant, I went back to the drawing board and used a sanitary tee fitting with a 90 elbow, cutting down the discharge tube to properly line up with the fitting. After carefully laying out the plumbing, I glued it together.
I found a threaded P trap at my local hardware store - I would have liked a true cleanout port, but there's not enough room behind the disposal. This way, the threaded cap can be loosened and the entire pipe assembly to the wall removed for access with an auger if a clog develops.