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

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


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

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

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

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

Remove parenthesis around (-8 + 8y)
20 + 19y = -8 + 8y

Solving
20 + 19y = -8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
20 + 19y + -8y = -8 + 8y + -8y

Combine like terms: 19y + -8y = 11y
20 + 11y = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
20 + 11y = -8 + 0
20 + 11y = -8

Add '-20' to each side of the equation.
20 + -20 + 11y = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 11y = -8 + -20
11y = -8 + -20

Combine like terms: -8 + -20 = -28
11y = -28

Divide each side by '11'.
y = -2.545454545

Simplifying
y = -2.545454545

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