6(11.5+.5y)+50+(7y-9)=180

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Solution for 6(11.5+.5y)+50+(7y-9)=180 equation:


Simplifying
6(11.5 + 0.5y) + 50 + (7y + -9) = 180
(11.5 * 6 + 0.5y * 6) + 50 + (7y + -9) = 180
(69 + 3y) + 50 + (7y + -9) = 180

Reorder the terms:
69 + 3y + 50 + (-9 + 7y) = 180

Remove parenthesis around (-9 + 7y)
69 + 3y + 50 + -9 + 7y = 180

Reorder the terms:
69 + 50 + -9 + 3y + 7y = 180

Combine like terms: 69 + 50 = 119
119 + -9 + 3y + 7y = 180

Combine like terms: 119 + -9 = 110
110 + 3y + 7y = 180

Combine like terms: 3y + 7y = 10y
110 + 10y = 180

Solving
110 + 10y = 180

Solving for variable 'y'.

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

Add '-110' to each side of the equation.
110 + -110 + 10y = 180 + -110

Combine like terms: 110 + -110 = 0
0 + 10y = 180 + -110
10y = 180 + -110

Combine like terms: 180 + -110 = 70
10y = 70

Divide each side by '10'.
y = 7

Simplifying
y = 7

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