-4(2y-9)-y=-4(y-5)

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Solution for -4(2y-9)-y=-4(y-5) equation: 


Simplifying
-4(2y + -9) + -1y = -4(y + -5)

Reorder the terms:
-4(-9 + 2y) + -1y = -4(y + -5)
(-9 * -4 + 2y * -4) + -1y = -4(y + -5)
(36 + -8y) + -1y = -4(y + -5)

Combine like terms: -8y + -1y = -9y
36 + -9y = -4(y + -5)

Reorder the terms:
36 + -9y = -4(-5 + y)
36 + -9y = (-5 * -4 + y * -4)
36 + -9y = (20 + -4y)

Solving
36 + -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.
36 + -9y + 4y = 20 + -4y + 4y

Combine like terms: -9y + 4y = -5y
36 + -5y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
36 + -5y = 20 + 0
36 + -5y = 20

Add '-36' to each side of the equation.
36 + -36 + -5y = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -5y = 20 + -36
-5y = 20 + -36

Combine like terms: 20 + -36 = -16
-5y = -16

Divide each side by '-5'.
y = 3.2

Simplifying
y = 3.2

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