-5(6y-8)-y=-3(y-5)

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Solution for -5(6y-8)-y=-3(y-5) equation: 


Simplifying
-5(6y + -8) + -1y = -3(y + -5)

Reorder the terms:
-5(-8 + 6y) + -1y = -3(y + -5)
(-8 * -5 + 6y * -5) + -1y = -3(y + -5)
(40 + -30y) + -1y = -3(y + -5)

Combine like terms: -30y + -1y = -31y
40 + -31y = -3(y + -5)

Reorder the terms:
40 + -31y = -3(-5 + y)
40 + -31y = (-5 * -3 + y * -3)
40 + -31y = (15 + -3y)

Solving
40 + -31y = 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.
40 + -31y + 3y = 15 + -3y + 3y

Combine like terms: -31y + 3y = -28y
40 + -28y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
40 + -28y = 15 + 0
40 + -28y = 15

Add '-40' to each side of the equation.
40 + -40 + -28y = 15 + -40

Combine like terms: 40 + -40 = 0
0 + -28y = 15 + -40
-28y = 15 + -40

Combine like terms: 15 + -40 = -25
-28y = -25

Divide each side by '-28'.
y = 0.8928571429

Simplifying
y = 0.8928571429

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