-4(2y-9)-y=-2(y-2)

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Solution for -4(2y-9)-y=-2(y-2) equation: 


Simplifying
-4(2y + -9) + -1y = -2(y + -2)

Reorder the terms:
-4(-9 + 2y) + -1y = -2(y + -2)
(-9 * -4 + 2y * -4) + -1y = -2(y + -2)
(36 + -8y) + -1y = -2(y + -2)

Combine like terms: -8y + -1y = -9y
36 + -9y = -2(y + -2)

Reorder the terms:
36 + -9y = -2(-2 + y)
36 + -9y = (-2 * -2 + y * -2)
36 + -9y = (4 + -2y)

Solving
36 + -9y = 4 + -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.
36 + -9y + 2y = 4 + -2y + 2y

Combine like terms: -9y + 2y = -7y
36 + -7y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
36 + -7y = 4 + 0
36 + -7y = 4

Add '-36' to each side of the equation.
36 + -36 + -7y = 4 + -36

Combine like terms: 36 + -36 = 0
0 + -7y = 4 + -36
-7y = 4 + -36

Combine like terms: 4 + -36 = -32
-7y = -32

Divide each side by '-7'.
y = 4.571428571

Simplifying
y = 4.571428571

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