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

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


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

Reorder the terms:
6(10 + y) + y = 2(y + 2) + -2
(10 * 6 + y * 6) + y = 2(y + 2) + -2
(60 + 6y) + y = 2(y + 2) + -2

Combine like terms: 6y + y = 7y
60 + 7y = 2(y + 2) + -2

Reorder the terms:
60 + 7y = 2(2 + y) + -2
60 + 7y = (2 * 2 + y * 2) + -2
60 + 7y = (4 + 2y) + -2

Reorder the terms:
60 + 7y = 4 + -2 + 2y

Combine like terms: 4 + -2 = 2
60 + 7y = 2 + 2y

Solving
60 + 7y = 2 + 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.
60 + 7y + -2y = 2 + 2y + -2y

Combine like terms: 7y + -2y = 5y
60 + 5y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
60 + 5y = 2 + 0
60 + 5y = 2

Add '-60' to each side of the equation.
60 + -60 + 5y = 2 + -60

Combine like terms: 60 + -60 = 0
0 + 5y = 2 + -60
5y = 2 + -60

Combine like terms: 2 + -60 = -58
5y = -58

Divide each side by '5'.
y = -11.6

Simplifying
y = -11.6

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