(2y+8)+(5y-9)+90=180

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Solution for (2y+8)+(5y-9)+90=180 equation: 


Simplifying
(2y + 8) + (5y + -9) + 90 = 180

Reorder the terms:
(8 + 2y) + (5y + -9) + 90 = 180

Remove parenthesis around (8 + 2y)
8 + 2y + (5y + -9) + 90 = 180

Reorder the terms:
8 + 2y + (-9 + 5y) + 90 = 180

Remove parenthesis around (-9 + 5y)
8 + 2y + -9 + 5y + 90 = 180

Reorder the terms:
8 + -9 + 90 + 2y + 5y = 180

Combine like terms: 8 + -9 = -1
-1 + 90 + 2y + 5y = 180

Combine like terms: -1 + 90 = 89
89 + 2y + 5y = 180

Combine like terms: 2y + 5y = 7y
89 + 7y = 180

Solving
89 + 7y = 180

Solving for variable 'y'.

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

Add '-89' to each side of the equation.
89 + -89 + 7y = 180 + -89

Combine like terms: 89 + -89 = 0
0 + 7y = 180 + -89
7y = 180 + -89

Combine like terms: 180 + -89 = 91
7y = 91

Divide each side by '7'.
y = 13

Simplifying
y = 13

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