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

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


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

Reorder the terms:
-4(-9 + 5y) + -1y = -3(y + -4)
(-9 * -4 + 5y * -4) + -1y = -3(y + -4)
(36 + -20y) + -1y = -3(y + -4)

Combine like terms: -20y + -1y = -21y
36 + -21y = -3(y + -4)

Reorder the terms:
36 + -21y = -3(-4 + y)
36 + -21y = (-4 * -3 + y * -3)
36 + -21y = (12 + -3y)

Solving
36 + -21y = 12 + -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 + -21y + 3y = 12 + -3y + 3y

Combine like terms: -21y + 3y = -18y
36 + -18y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -18y = 12 + 0
36 + -18y = 12

Add '-36' to each side of the equation.
36 + -36 + -18y = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -18y = 12 + -36
-18y = 12 + -36

Combine like terms: 12 + -36 = -24
-18y = -24

Divide each side by '-18'.
y = 1.333333333

Simplifying
y = 1.333333333

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