Work Step by Step
We first use the distributive property to obtain that 6y-12=8-2y. We add 2y to both sides to get that 8y-12=8. We need to get the y alone. Thus, we cancel out the subtraction by adding 12 on both sides. This leaves us with the equation $8y=20$. In order to cancel out multiplication, we use division, so we divide both sides by 8 to get that y=2.5. We plug 2.5 in for y and confirm that our answer is, indeed, correct.