6(y+2)=117-y

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Solution for 6(y+2)=117-y equation: 


Simplifying
6(y + 2) = 117 + -1y

Reorder the terms:
6(2 + y) = 117 + -1y
(2 * 6 + y * 6) = 117 + -1y
(12 + 6y) = 117 + -1y

Solving
12 + 6y = 117 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
12 + 6y + y = 117 + -1y + y

Combine like terms: 6y + y = 7y
12 + 7y = 117 + -1y + y

Combine like terms: -1y + y = 0
12 + 7y = 117 + 0
12 + 7y = 117

Add '-12' to each side of the equation.
12 + -12 + 7y = 117 + -12

Combine like terms: 12 + -12 = 0
0 + 7y = 117 + -12
7y = 117 + -12

Combine like terms: 117 + -12 = 105
7y = 105

Divide each side by '7'.
y = 15

Simplifying
y = 15

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