-2(-5y-1)-y=-4(y-3)

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Solution for -2(-5y-1)-y=-4(y-3) equation: 


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

Reorder the terms:
-2(-1 + -5y) + -1y = -4(y + -3)
(-1 * -2 + -5y * -2) + -1y = -4(y + -3)
(2 + 10y) + -1y = -4(y + -3)

Combine like terms: 10y + -1y = 9y
2 + 9y = -4(y + -3)

Reorder the terms:
2 + 9y = -4(-3 + y)
2 + 9y = (-3 * -4 + y * -4)
2 + 9y = (12 + -4y)

Solving
2 + 9y = 12 + -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.
2 + 9y + 4y = 12 + -4y + 4y

Combine like terms: 9y + 4y = 13y
2 + 13y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + 13y = 12 + 0
2 + 13y = 12

Add '-2' to each side of the equation.
2 + -2 + 13y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 13y = 12 + -2
13y = 12 + -2

Combine like terms: 12 + -2 = 10
13y = 10

Divide each side by '13'.
y = 0.7692307692

Simplifying
y = 0.7692307692

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