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

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


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

Reorder the terms:
-3(-9 + 5y) + -1y = -4(y + -4)
(-9 * -3 + 5y * -3) + -1y = -4(y + -4)
(27 + -15y) + -1y = -4(y + -4)

Combine like terms: -15y + -1y = -16y
27 + -16y = -4(y + -4)

Reorder the terms:
27 + -16y = -4(-4 + y)
27 + -16y = (-4 * -4 + y * -4)
27 + -16y = (16 + -4y)

Solving
27 + -16y = 16 + -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.
27 + -16y + 4y = 16 + -4y + 4y

Combine like terms: -16y + 4y = -12y
27 + -12y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
27 + -12y = 16 + 0
27 + -12y = 16

Add '-27' to each side of the equation.
27 + -27 + -12y = 16 + -27

Combine like terms: 27 + -27 = 0
0 + -12y = 16 + -27
-12y = 16 + -27

Combine like terms: 16 + -27 = -11
-12y = -11

Divide each side by '-12'.
y = 0.9166666667

Simplifying
y = 0.9166666667

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