-5(3y-9)-y=-4(y-2)

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Solution for -5(3y-9)-y=-4(y-2) equation: 


Simplifying
-5(3y + -9) + -1y = -4(y + -2)

Reorder the terms:
-5(-9 + 3y) + -1y = -4(y + -2)
(-9 * -5 + 3y * -5) + -1y = -4(y + -2)
(45 + -15y) + -1y = -4(y + -2)

Combine like terms: -15y + -1y = -16y
45 + -16y = -4(y + -2)

Reorder the terms:
45 + -16y = -4(-2 + y)
45 + -16y = (-2 * -4 + y * -4)
45 + -16y = (8 + -4y)

Solving
45 + -16y = 8 + -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.
45 + -16y + 4y = 8 + -4y + 4y

Combine like terms: -16y + 4y = -12y
45 + -12y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
45 + -12y = 8 + 0
45 + -12y = 8

Add '-45' to each side of the equation.
45 + -45 + -12y = 8 + -45

Combine like terms: 45 + -45 = 0
0 + -12y = 8 + -45
-12y = 8 + -45

Combine like terms: 8 + -45 = -37
-12y = -37

Divide each side by '-12'.
y = 3.083333333

Simplifying
y = 3.083333333

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