#### Answer

$y=3$

#### Work Step by Step

$2(y-4)=-4y+10 \\\\ 2y-8=-4y+10 \\\\ -8=-6y+10 \\\\ -18=-6y \\\\ y=3$
We first use the distributive property on the left side of the equation to simplify. We then subtract by 2y on both sides. Next, we subtract by 10 on both sides. Finally, we divide by -6 to get that y=3.