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.
Tie washer drain into sink.
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.
Something like this or this but in reverse.
Washer drain hose to utility sink.
This install is in a basement so it would be very difficult to cut more concrete or run a separate line to the sump.
This is in virginia.
There are three rules.
But i assume from your question that sink doesn t have any drain.
Water is drained from the washing machine directly into the sink.
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.
The size of a drain line for a small bar sink.
Locate your existing washer s drain line specifically where it goes down into the floor or wall.
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.
Do not tie it into the trap.
If the utility sink was properly installed it has its own drain.
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.
The sink drain and the washer drain connect below the floor.
Laundry sink waste ties in below the standpipe tie in.
If possible and applicable note.
Other options for washing machine drainage in garage.
Connect the washing machine to the sink drain if.