Washer Drain overflowing with water in basement

[Jonnielarson]

I bought a house recently that was built in 1975 and it was sitting vacant for a couple of years before I bought it. When I hooked up the washer and ran a cycle the water came gushing out of the washer drain. I later found that water is coming out of the washer drain when I take a shower. I rented a snake from the Home Depot and snaked the main sewer line but that didn’t work. Here is a link to a video. Any advise would be much appreciated. Thank you.