toilet move

Waste plumbing is not my expertise by any stretch, so I don't know how feasible it is, but in the photo below, could the toilet be relocated to the main bathroom? I would imagine the main factor would be which way the joists run, but not sure how I would determine that? Regards: Elliott.

This is probably covered somewhere, but can't find exactly. Moving a toilet a few feet and want to tie into the vertical waste stack. What is the best option, San Tee or Wye, coming from a close to vertical waste flow direction? I plan on removing a section of the vertical 4" ABS, gluing a few...