Plumbing question

Hey all, plumbing question and background info for you. I have an older home with cast iron pipes. I had everything interior and to the street scoped last year and looked good. Our laundry room is another story. It’s semi detached semi attached by a sun room type thing. Anyway, the washer started overflowing the drain so I had it snaked. 5 wks later same thing happens. now the snake isnt cutting it and the plumber says I need to replace the T and P trap as they are 1.5” into a 2”. He went in through a cleanout on the other side of the wall from a remnant sink-now gone. Said he could get the snake into the house line ok, but couldn’t go through the P trap the other way.

Looking at the photo you can see the sewer line come up out of the concrete on the left. Then a Y – used to be a sink on other side of the wall. Next is the tee going to the P trap and pipe for the washer discharge.

My question is: am I going to have enough room to cut the cast iron below the Y and get the fitting for the new black pipe on? I hadn’t expected there to be such a mangle in there. Any help is appreciated.