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

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


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

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

Combine like terms: -10y + -1y = -11y
10 + -11y = -3(y + -5)

Reorder the terms:
10 + -11y = -3(-5 + y)
10 + -11y = (-5 * -3 + y * -3)
10 + -11y = (15 + -3y)

Solving
10 + -11y = 15 + -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.
10 + -11y + 3y = 15 + -3y + 3y

Combine like terms: -11y + 3y = -8y
10 + -8y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + -8y = 15 + 0
10 + -8y = 15

Add '-10' to each side of the equation.
10 + -10 + -8y = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -8y = 15 + -10
-8y = 15 + -10

Combine like terms: 15 + -10 = 5
-8y = 5

Divide each side by '-8'.
y = -0.625

Simplifying
y = -0.625

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