10(2y+2)-y=(6y-8)

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Solution for 10(2y+2)-y=(6y-8) equation:


Simplifying
10(2y + 2) + -1y = (6y + -8)

Reorder the terms:
10(2 + 2y) + -1y = (6y + -8)
(2 * 10 + 2y * 10) + -1y = (6y + -8)
(20 + 20y) + -1y = (6y + -8)

Combine like terms: 20y + -1y = 19y
20 + 19y = (6y + -8)

Reorder the terms:
20 + 19y = (-8 + 6y)

Remove parenthesis around (-8 + 6y)
20 + 19y = -8 + 6y

Solving
20 + 19y = -8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
20 + 19y + -6y = -8 + 6y + -6y

Combine like terms: 19y + -6y = 13y
20 + 13y = -8 + 6y + -6y

Combine like terms: 6y + -6y = 0
20 + 13y = -8 + 0
20 + 13y = -8

Add '-20' to each side of the equation.
20 + -20 + 13y = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 13y = -8 + -20
13y = -8 + -20

Combine like terms: -8 + -20 = -28
13y = -28

Divide each side by '13'.
y = -2.153846154

Simplifying
y = -2.153846154

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