Answer
$(20,17)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$2(x+y)=3(x+y)-3(1) $ and $3(x+2)-6(4)=2(y+4)$
This gives $x=20$
Now, $3(x+2)-6(4)=2(y+4)$
or, $3x+6-24=2y+8$
or, $60+6-24=2y+8$
or, $y=17$
Hence, the desired result is $(20,17)$