Bath and shower in basement

I am changing the current pipes in my basement half bath, The current washing machaine pipe is 2†dia that reduces to 1-1/2 in with no p-trap I want to replace the drain pipe with 2 in PVC with trap. Do I need to vent this and where should I install the vent? i have replaced the shower pipe with a 2 in, PVC the washer and sink pipe connects via Y Please View diagram.

Here's the poll. How many posts before the AAV comes up?

Yes you need to vent it. And if you are under the UPC youneed to dump the 2" line into a 3" line

Here's the poll. How many posts before the AAV comes up?

Yes you need to vent it. And if you are under the UPC youneed to dump the 2" line into a 3" line

You can only run 6' with 2" before your vent and you can not wet vent it either.

AAV? Well you asked for it!