10(2y+2)-y=3(8y-8)

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Solution for 10(2y+2)-y=3(8y-8) equation: 


Simplifying
10(2y + 2) + -1y = 3(8y + -8)

Reorder the terms:
10(2 + 2y) + -1y = 3(8y + -8)
(2 * 10 + 2y * 10) + -1y = 3(8y + -8)
(20 + 20y) + -1y = 3(8y + -8)

Combine like terms: 20y + -1y = 19y
20 + 19y = 3(8y + -8)

Reorder the terms:
20 + 19y = 3(-8 + 8y)
20 + 19y = (-8 * 3 + 8y * 3)
20 + 19y = (-24 + 24y)

Solving
20 + 19y = -24 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
20 + 19y + -24y = -24 + 24y + -24y

Combine like terms: 19y + -24y = -5y
20 + -5y = -24 + 24y + -24y

Combine like terms: 24y + -24y = 0
20 + -5y = -24 + 0
20 + -5y = -24

Add '-20' to each side of the equation.
20 + -20 + -5y = -24 + -20

Combine like terms: 20 + -20 = 0
0 + -5y = -24 + -20
-5y = -24 + -20

Combine like terms: -24 + -20 = -44
-5y = -44

Divide each side by '-5'.
y = 8.8

Simplifying
y = 8.8

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