-8(y-7)=4y-40

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Solution for -8(y-7)=4y-40 equation:


Simplifying
-8(y + -7) = 4y + -40

Reorder the terms:
-8(-7 + y) = 4y + -40
(-7 * -8 + y * -8) = 4y + -40
(56 + -8y) = 4y + -40

Reorder the terms:
56 + -8y = -40 + 4y

Solving
56 + -8y = -40 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
56 + -8y + -4y = -40 + 4y + -4y

Combine like terms: -8y + -4y = -12y
56 + -12y = -40 + 4y + -4y

Combine like terms: 4y + -4y = 0
56 + -12y = -40 + 0
56 + -12y = -40

Add '-56' to each side of the equation.
56 + -56 + -12y = -40 + -56

Combine like terms: 56 + -56 = 0
0 + -12y = -40 + -56
-12y = -40 + -56

Combine like terms: -40 + -56 = -96
-12y = -96

Divide each side by '-12'.
y = 8

Simplifying
y = 8

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