-4(4y-9)-y=-4(y-3)

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Solution for -4(4y-9)-y=-4(y-3) equation: 


Simplifying
-4(4y + -9) + -1y = -4(y + -3)

Reorder the terms:
-4(-9 + 4y) + -1y = -4(y + -3)
(-9 * -4 + 4y * -4) + -1y = -4(y + -3)
(36 + -16y) + -1y = -4(y + -3)

Combine like terms: -16y + -1y = -17y
36 + -17y = -4(y + -3)

Reorder the terms:
36 + -17y = -4(-3 + y)
36 + -17y = (-3 * -4 + y * -4)
36 + -17y = (12 + -4y)

Solving
36 + -17y = 12 + -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 + -17y + 4y = 12 + -4y + 4y

Combine like terms: -17y + 4y = -13y
36 + -13y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
36 + -13y = 12 + 0
36 + -13y = 12

Add '-36' to each side of the equation.
36 + -36 + -13y = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -13y = 12 + -36
-13y = 12 + -36

Combine like terms: 12 + -36 = -24
-13y = -24

Divide each side by '-13'.
y = 1.846153846

Simplifying
y = 1.846153846

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