Answer
y=-3
Work Step by Step
Simplifying
12 + 8(2y + 3) = (y + 7) + -16
Reorder the terms:
12 + 8(3 + 2y) = (y + 7) + -16
12 + (3 * 8 + 2y * 8) = (y + 7) + -16
12 + (24 + 16y) = (y + 7) + -16
Combine like terms: 12 + 24 = 36
36 + 16y = (y + 7) + -16
Reorder the terms:
36 + 16y = (7 + y) + -16
Remove parenthesis around (7 + y)
36 + 16y = 7 + y + -16
Reorder the terms:
36 + 16y = 7 + -16 + y
Combine like terms: 7 + -16 = -9
36 + 16y = -9 + y
Solving
36 + 16y = -9 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
36 + 16y + -1y = -9 + y + -1y
Combine like terms: 16y + -1y = 15y
36 + 15y = -9 + y + -1y
Combine like terms: y + -1y = 0
36 + 15y = -9 + 0
36 + 15y = -9
Add '-36' to each side of the equation.
36 + -36 + 15y = -9 + -36
Combine like terms: 36 + -36 = 0
0 + 15y = -9 + -36
15y = -9 + -36
Combine like terms: -9 + -36 = -45
15y = -45
Divide each side by '15'.
y = -3
Simplifying
y = -3
