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

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


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

Reorder the terms:
-3(-5 + 4y) + -1y = -4(y + -4)
(-5 * -3 + 4y * -3) + -1y = -4(y + -4)
(15 + -12y) + -1y = -4(y + -4)

Combine like terms: -12y + -1y = -13y
15 + -13y = -4(y + -4)

Reorder the terms:
15 + -13y = -4(-4 + y)
15 + -13y = (-4 * -4 + y * -4)
15 + -13y = (16 + -4y)

Solving
15 + -13y = 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.
15 + -13y + 4y = 16 + -4y + 4y

Combine like terms: -13y + 4y = -9y
15 + -9y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + -9y = 16 + 0
15 + -9y = 16

Add '-15' to each side of the equation.
15 + -15 + -9y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = 16 + -15
-9y = 16 + -15

Combine like terms: 16 + -15 = 1
-9y = 1

Divide each side by '-9'.
y = -0.1111111111

Simplifying
y = -0.1111111111

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