I want to add a utility sink to my basement washing machine room. Currently, the washing machine drains into a drainpipe that comes out of the foundation about 4 feet above the floor. I would like to add the sink next to the washer. I think I need a sump pump since the sink will sit lower than the drain pipe. I'm not sure how to have both the washing machine and sink empty into the same drain pipe without one backing up into the other. I'd like to set it up similar to the diagram, but I'm confused about the joint that I circled in red. Do I use a T joint of some kind? Do I need to attach the washer at a higher level than the sink? Is it possible to do what I want? Please help. Thanks in advance.
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