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

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


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

Reorder the terms:
-4(-4 + 2y) + -1y = -2(y + -5)
(-4 * -4 + 2y * -4) + -1y = -2(y + -5)
(16 + -8y) + -1y = -2(y + -5)

Combine like terms: -8y + -1y = -9y
16 + -9y = -2(y + -5)

Reorder the terms:
16 + -9y = -2(-5 + y)
16 + -9y = (-5 * -2 + y * -2)
16 + -9y = (10 + -2y)

Solving
16 + -9y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
16 + -9y + 2y = 10 + -2y + 2y

Combine like terms: -9y + 2y = -7y
16 + -7y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + -7y = 10 + 0
16 + -7y = 10

Add '-16' to each side of the equation.
16 + -16 + -7y = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = 10 + -16
-7y = 10 + -16

Combine like terms: 10 + -16 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571

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