Question

Solve for y.

6(y+4)=-3(2y-2) +8y

Simplify your answer as much as possible.
y =

Answer 1

-9/2 or -4.5

Explanation:

1. Distribution; 6y+24 = -6y+6+8y
2. Combine like terms; 6y+24 = 2y+6
3. Put y on one side; 6y-2y = -24+6
4. Simplify; 4y = -18
5. 4y/4 = -18/4
6. y= -9/2 or -4.5

Answer 2

6(y + 4) = -3(2y - 2) + 8y

6y + 24 = -6y + 6 + 8y

6y + 24 = 2y + 6

Subtract -2y on both sides

4y + 24 = 6

Subtract -24 on both sides

4y = -18

y = - 4.5