-4(6y-9)-y=-3(y-5)

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Solution for -4(6y-9)-y=-3(y-5) equation: 


Simplifying
-4(6y + -9) + -1y = -3(y + -5)

Reorder the terms:
-4(-9 + 6y) + -1y = -3(y + -5)
(-9 * -4 + 6y * -4) + -1y = -3(y + -5)
(36 + -24y) + -1y = -3(y + -5)

Combine like terms: -24y + -1y = -25y
36 + -25y = -3(y + -5)

Reorder the terms:
36 + -25y = -3(-5 + y)
36 + -25y = (-5 * -3 + y * -3)
36 + -25y = (15 + -3y)

Solving
36 + -25y = 15 + -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 + -25y + 3y = 15 + -3y + 3y

Combine like terms: -25y + 3y = -22y
36 + -22y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -22y = 15 + 0
36 + -22y = 15

Add '-36' to each side of the equation.
36 + -36 + -22y = 15 + -36

Combine like terms: 36 + -36 = 0
0 + -22y = 15 + -36
-22y = 15 + -36

Combine like terms: 15 + -36 = -21
-22y = -21

Divide each side by '-22'.
y = 0.9545454545

Simplifying
y = 0.9545454545

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