To solve for Y you want to keep Y by itself on the left side and everything else on the right side of the equals sign (this means we are putting it into Y=mx+b format or slope intercept form).

First start off with subtracting 2x from the left and moving it to the right side which will give you a new equation that will look like: 3Y=-2X+12

Second since we want Y to be alone we will divide the left hand side by three and everything on the right hand side be t3 and reduce any terms if possible to the smallest possible number. By doing this we obtain the new equation and our answer which will be:

Y= -2/3X+4