-2(y-8)=5y-40

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Solution for -2(y-8)=5y-40 equation: 


Simplifying
-2(y + -8) = 5y + -40

Reorder the terms:
-2(-8 + y) = 5y + -40
(-8 * -2 + y * -2) = 5y + -40
(16 + -2y) = 5y + -40

Reorder the terms:
16 + -2y = -40 + 5y

Solving
16 + -2y = -40 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
16 + -2y + -5y = -40 + 5y + -5y

Combine like terms: -2y + -5y = -7y
16 + -7y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -7y = -40 + 0
16 + -7y = -40

Add '-16' to each side of the equation.
16 + -16 + -7y = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = -40 + -16
-7y = -40 + -16

Combine like terms: -40 + -16 = -56
-7y = -56

Divide each side by '-7'.
y = 8

Simplifying
y = 8

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