Just to flesh out an alternative for you, which keeps everything on the horizontal, hopefully you can decipher my text descriptions. In your handwritten floor plan earlier, I'm calling the top of the page N.
- Run the washer/lav E to hit the kitchen drain coming N, combine with a horizontal 2" combo
- On the left, closet bend, pipe N, long turn 90 to go E, 3x3x2 upright combo for vent, E to double quarter bend.
- On the right, shower trap, upright 2x2x1-1/2" combo for vent, horizontal 2" combo to bring in the kitchen sink/washer/lav, 2" pipe W to 2x3 bushing in the double quarter bend.
If it would fit better, you could swap the horizontal 2" combo on the right for the kitchen sink/washer/lav to a 3" x 2" combo on the left. And note that the shower (2) / kitchen sink (2) / washer (3) and lav (1) make 8 DFUs, which is the maximum allowed on a 2" horizontal drain.
All your vents can be 1-1/2" if desired, except the toilet has to be 2". 1-1/2" vent is good for 8 DFUs.
Cheers, Wayne