Do not tie it into the trap.
Tie washer drain into sink.
Tee wye off the vent for the sink above the standpipe waste at least 42 off the floor and if sink on the left in this photo then above the laundry box.
There are three rules.
Using your utility sink s drain line measurement measure up from the ground and make a mark on your washer s drain line.
Washer drain hose to utility sink.
Other options for washing machine drainage in garage.
If possible and applicable note.
It can then run horizontally to tie into another vent as long as it maintains a 1 4 inch per foot slope toward the drain.
This is in virginia.
If the utility sink was properly installed it has its own drain.
Locate your existing washer s drain line specifically where it goes down into the floor or wall.
This is where you will place the new y fitting that will separate the washer s drain from the utility sink s drain in the next.
Do not connect it directly to a drain stand pipe unless the pipe is at least 2 inches in diameter.
The washing machine drain 1 5 would run horizontally along wall pick up the lavatory drain still 1 5 and wye into a 2 drain with the shower which then wyes into a 3 drain with the toilet and on to a sump.
Water is drained from the washing machine directly into the sink.
The size of a drain line for a small bar sink.
Laundry sink waste ties in below the standpipe tie in.
If that s the problem then your objective will work you can tie the sink drain to the washer drain.
1 install the drain hose into an installed 2 diameter drainage stand pipe.
Something like this or this but in reverse.
Connect the washing machine to the sink drain if.
The drain hose from the washing machine is hung on the edge of the laundry sink.