Answer
y=-9
Work Step by Step
Simplifying
2(y + 1) = y + -7
Reorder the terms:
2(1 + y) = y + -7
(1 * 2 + y * 2) = y + -7
(2 + 2y) = y + -7
Reorder the terms:
2 + 2y = -7 + y
Solving
2 + 2y = -7 + 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.
2 + 2y + -1y = -7 + y + -1y
Combine like terms: 2y + -1y = 1y
2 + 1y = -7 + y + -1y
Combine like terms: y + -1y = 0
2 + 1y = -7 + 0
2 + 1y = -7
Add '-2' to each side of the equation.
2 + -2 + 1y = -7 + -2
Combine like terms: 2 + -2 = 0
0 + 1y = -7 + -2
1y = -7 + -2
Combine like terms: -7 + -2 = -9
1y = -9
Divide each side by '1'.
y = -9
Simplifying
y = -9
