Evaluate each equation to find the value of y when x=3.

2x+3y=12

2(3)+ 3y= 12
6+3y=12
3y=6
y=2

Is this correct?

Yes, sure :)

BUT
you did not need to ask because to be sure just put it back in

2 (3) + 3 (2) = ??? maybe 12
6 + 6 = YES