-5(6y-10)-y=-2(y-4)

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Solution for -5(6y-10)-y=-2(y-4) equation: 


Simplifying
-5(6y + -10) + -1y = -2(y + -4)

Reorder the terms:
-5(-10 + 6y) + -1y = -2(y + -4)
(-10 * -5 + 6y * -5) + -1y = -2(y + -4)
(50 + -30y) + -1y = -2(y + -4)

Combine like terms: -30y + -1y = -31y
50 + -31y = -2(y + -4)

Reorder the terms:
50 + -31y = -2(-4 + y)
50 + -31y = (-4 * -2 + y * -2)
50 + -31y = (8 + -2y)

Solving
50 + -31y = 8 + -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.
50 + -31y + 2y = 8 + -2y + 2y

Combine like terms: -31y + 2y = -29y
50 + -29y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
50 + -29y = 8 + 0
50 + -29y = 8

Add '-50' to each side of the equation.
50 + -50 + -29y = 8 + -50

Combine like terms: 50 + -50 = 0
0 + -29y = 8 + -50
-29y = 8 + -50

Combine like terms: 8 + -50 = -42
-29y = -42

Divide each side by '-29'.
y = 1.448275862

Simplifying
y = 1.448275862

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