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

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


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

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

Combine like terms: -8y + -1y = -9y
16 + -9y = -2(y + -4)

Reorder the terms:
16 + -9y = -2(-4 + y)
16 + -9y = (-4 * -2 + y * -2)
16 + -9y = (8 + -2y)

Solving
16 + -9y = 8 + -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 = 8 + -2y + 2y

Combine like terms: -9y + 2y = -7y
16 + -7y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + -7y = 8 + 0
16 + -7y = 8

Add '-16' to each side of the equation.
16 + -16 + -7y = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = 8 + -16
-7y = 8 + -16

Combine like terms: 8 + -16 = -8
-7y = -8

Divide each side by '-7'.
y = 1.142857143

Simplifying
y = 1.142857143

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