Need help making basement layout.

I want to replace and correctly plumb the laundry area in my basement and also rough in a bathroom.
Single floor rambler with 1 bathroom. In basement the stack is a couple feet away from the exterior wall,
between the sewer line and the stack is a double y. on the left of the y is a floor drain and washer/sink.
On the right it's capped off for future lines.

I want to do everything correctly but have a really hard time understanding everything that I've been reading.
I don't mind having to undo,redo anything I just need a lot of extra help with putting the right stuff in the right place.
Any help will be very appreciated!

quote; I want to replace and correctly plumb the laundry area in my basement and also rough in a bathroom.

I do not know why everyone thinks that plumbing is just sticking some pipes together. If it were that easy, we would not have to serve a 4 or 5 year apprenticeship. The way to do it "correctly" is to call a professional plumber who knows HOW to do it, without resorting to the Internet and e-mails.

I need help, plain and simple. I can't afford a plumber and I never assumed it was "just sticking some pipes together". With all the helpful threads/posts on this forum and knowledge I thought it was worth asking. No need to be a dick when you could have simply not posted a reply at all.

Plain and simple, HJ is right. What you want from a forum is all but impossible to get. You are basically looking for free design and consulting. I don't do it for my customers for free and I sure am not going to do it here. Simple service oriented questions, sure but you are expecting us to step you through the process. If you can't afford a plumber then you can't afford to do the renovation.