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

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


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

Reorder the terms:
-4(-9 + 4y) + -1y = -2(y + -4)
(-9 * -4 + 4y * -4) + -1y = -2(y + -4)
(36 + -16y) + -1y = -2(y + -4)

Combine like terms: -16y + -1y = -17y
36 + -17y = -2(y + -4)

Reorder the terms:
36 + -17y = -2(-4 + y)
36 + -17y = (-4 * -2 + y * -2)
36 + -17y = (8 + -2y)

Solving
36 + -17y = 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.
36 + -17y + 2y = 8 + -2y + 2y

Combine like terms: -17y + 2y = -15y
36 + -15y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
36 + -15y = 8 + 0
36 + -15y = 8

Add '-36' to each side of the equation.
36 + -36 + -15y = 8 + -36

Combine like terms: 36 + -36 = 0
0 + -15y = 8 + -36
-15y = 8 + -36

Combine like terms: 8 + -36 = -28
-15y = -28

Divide each side by '-15'.
y = 1.866666667

Simplifying
y = 1.866666667

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