2+y+11(y+1)=130-y

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Solution for 2+y+11(y+1)=130-y equation:


Simplifying
2 + y + 11(y + 1) = 130 + -1y

Reorder the terms:
2 + y + 11(1 + y) = 130 + -1y
2 + y + (1 * 11 + y * 11) = 130 + -1y
2 + y + (11 + 11y) = 130 + -1y

Reorder the terms:
2 + 11 + y + 11y = 130 + -1y

Combine like terms: 2 + 11 = 13
13 + y + 11y = 130 + -1y

Combine like terms: y + 11y = 12y
13 + 12y = 130 + -1y

Solving
13 + 12y = 130 + -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.
13 + 12y + y = 130 + -1y + y

Combine like terms: 12y + y = 13y
13 + 13y = 130 + -1y + y

Combine like terms: -1y + y = 0
13 + 13y = 130 + 0
13 + 13y = 130

Add '-13' to each side of the equation.
13 + -13 + 13y = 130 + -13

Combine like terms: 13 + -13 = 0
0 + 13y = 130 + -13
13y = 130 + -13

Combine like terms: 130 + -13 = 117
13y = 117

Divide each side by '13'.
y = 9

Simplifying
y = 9

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