Correct bathroom sink plumbing?

[Pisti]

I have an upstairs bathroom sink that needs to drain to the basement below. I can't simply run the drain vertically down through the wall because there are joists in the way. We have a floating vanity and don't want the drain to drop out from the bottom of the vanity. So it needs to bump out from the bathroom wall and then drop down into the floor. What is my best way to do this?

I am using ABS, just had the white fittings near by to problem solve with. The vertical vent that is cut is being moved to align with the new drain. Those 90s aren't ideal. Can I adjust to use sweeping assuming there is enough space? What is the best option? Currently I am planning a 45 coming out of the floor and a 45 in the wall to get vertical again.

 

[John Gayewski]

You need a tee. Not sure if your not showing it becuse you don't have one or what.

You'd go from the floor up. 45, travel piece, 45, pup piece, tee (2x2x1.5"), then coupling to the vent. From the tee you'd use a regular 90 piped over to where you need it.

 

[Sponsor]

 

[Pisti]

The tee is at the top of the pic. The new vanity is floating which is why it is cut and moved up where I am holding it. So that is why I need 90s to get it to the drain which would be centered in the vanity. I could move it so it is the sanitary tee, vertical drop, 45, travel, 45 and into the floor. But then it would be stubbing into the vanity like 5 inches from the side, which seems odd.