-4(2y-9)-y=-3(y-3)

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Solution for -4(2y-9)-y=-3(y-3) equation: 


Simplifying
-4(2y + -9) + -1y = -3(y + -3)

Reorder the terms:
-4(-9 + 2y) + -1y = -3(y + -3)
(-9 * -4 + 2y * -4) + -1y = -3(y + -3)
(36 + -8y) + -1y = -3(y + -3)

Combine like terms: -8y + -1y = -9y
36 + -9y = -3(y + -3)

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

Solving
36 + -9y = 9 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
36 + -9y + 3y = 9 + -3y + 3y

Combine like terms: -9y + 3y = -6y
36 + -6y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -6y = 9 + 0
36 + -6y = 9

Add '-36' to each side of the equation.
36 + -36 + -6y = 9 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = 9 + -36
-6y = 9 + -36

Combine like terms: 9 + -36 = -27
-6y = -27

Divide each side by '-6'.
y = 4.5

Simplifying
y = 4.5

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