-5(2y-8)-y=-2(y-5)

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Solution for -5(2y-8)-y=-2(y-5) equation: 


Simplifying
-5(2y + -8) + -1y = -2(y + -5)

Reorder the terms:
-5(-8 + 2y) + -1y = -2(y + -5)
(-8 * -5 + 2y * -5) + -1y = -2(y + -5)
(40 + -10y) + -1y = -2(y + -5)

Combine like terms: -10y + -1y = -11y
40 + -11y = -2(y + -5)

Reorder the terms:
40 + -11y = -2(-5 + y)
40 + -11y = (-5 * -2 + y * -2)
40 + -11y = (10 + -2y)

Solving
40 + -11y = 10 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.
40 + -11y + 2y = 10 + -2y + 2y

Combine like terms: -11y + 2y = -9y
40 + -9y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
40 + -9y = 10 + 0
40 + -9y = 10

Add '-40' to each side of the equation.
40 + -40 + -9y = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -9y = 10 + -40
-9y = 10 + -40

Combine like terms: 10 + -40 = -30
-9y = -30

Divide each side by '-9'.
y = 3.333333333

Simplifying
y = 3.333333333

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