(5y+10)+(3y-8)+90=180

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Solution for (5y+10)+(3y-8)+90=180 equation: 


Simplifying
(5y + 10) + (3y + -8) + 90 = 180

Reorder the terms:
(10 + 5y) + (3y + -8) + 90 = 180

Remove parenthesis around (10 + 5y)
10 + 5y + (3y + -8) + 90 = 180

Reorder the terms:
10 + 5y + (-8 + 3y) + 90 = 180

Remove parenthesis around (-8 + 3y)
10 + 5y + -8 + 3y + 90 = 180

Reorder the terms:
10 + -8 + 90 + 5y + 3y = 180

Combine like terms: 10 + -8 = 2
2 + 90 + 5y + 3y = 180

Combine like terms: 2 + 90 = 92
92 + 5y + 3y = 180

Combine like terms: 5y + 3y = 8y
92 + 8y = 180

Solving
92 + 8y = 180

Solving for variable 'y'.

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

Add '-92' to each side of the equation.
92 + -92 + 8y = 180 + -92

Combine like terms: 92 + -92 = 0
0 + 8y = 180 + -92
8y = 180 + -92

Combine like terms: 180 + -92 = 88
8y = 88

Divide each side by '8'.
y = 11

Simplifying
y = 11

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