-4(2y-2)-y=-4(y-5)

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Solution for -4(2y-2)-y=-4(y-5) equation: 


Simplifying
-4(2y + -2) + -1y = -4(y + -5)

Reorder the terms:
-4(-2 + 2y) + -1y = -4(y + -5)
(-2 * -4 + 2y * -4) + -1y = -4(y + -5)
(8 + -8y) + -1y = -4(y + -5)

Combine like terms: -8y + -1y = -9y
8 + -9y = -4(y + -5)

Reorder the terms:
8 + -9y = -4(-5 + y)
8 + -9y = (-5 * -4 + y * -4)
8 + -9y = (20 + -4y)

Solving
8 + -9y = 20 + -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.
8 + -9y + 4y = 20 + -4y + 4y

Combine like terms: -9y + 4y = -5y
8 + -5y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
8 + -5y = 20 + 0
8 + -5y = 20

Add '-8' to each side of the equation.
8 + -8 + -5y = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 20 + -8
-5y = 20 + -8

Combine like terms: 20 + -8 = 12
-5y = 12

Divide each side by '-5'.
y = -2.4

Simplifying
y = -2.4

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