So first, you subtract 4x from both sides to try and get y by itself. The equation then becomes -3y=-4x+12. Then, you divide both sides by -3 to get y completely by itself. -4 doesn’t go into -3 evenly, so you just leave it as 4/3. 12 divided by -3 is -4. The final answer is y=4/3x -4.
Anytime you have a problem that asks for slope intercept for remember the formula, Y=MX+B
Have a nice day :)