Answer
y = 2.583333333
Work Step by Step
Simplifying
4(y + 2) = -8(y + -4) + 7
Reorder the terms:
4(2 + y) = -8(y + -4) + 7
(2 * 4 + y * 4) = -8(y + -4) + 7
(8 + 4y) = -8(y + -4) + 7
Reorder the terms:
8 + 4y = -8(-4 + y) + 7
8 + 4y = (-4 * -8 + y * -8) + 7
8 + 4y = (32 + -8y) + 7
Reorder the terms:
8 + 4y = 32 + 7 + -8y
Combine like terms: 32 + 7 = 39
8 + 4y = 39 + -8y
Solving
8 + 4y = 39 + -8y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '8y' to each side of the equation.
8 + 4y + 8y = 39 + -8y + 8y
Combine like terms: 4y + 8y = 12y
8 + 12y = 39 + -8y + 8y
Combine like terms: -8y + 8y = 0
8 + 12y = 39 + 0
8 + 12y = 39
Add '-8' to each side of the equation.
8 + -8 + 12y = 39 + -8
Combine like terms: 8 + -8 = 0
0 + 12y = 39 + -8
12y = 39 + -8
Combine like terms: 39 + -8 = 31
12y = 31
Divide each side by '12'.
y = 2.583333333
Simplifying
y = 2.583333333
