(5y-24)+(3y+10)+(9x+1)+82=180

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Solution for (5y-24)+(3y+10)+(9x+1)+82=180 equation: 


Simplifying
(5y + -24) + (3y + 10) + (9x + 1) + 82 = 180

Reorder the terms:
(-24 + 5y) + (3y + 10) + (9x + 1) + 82 = 180

Remove parenthesis around (-24 + 5y)
-24 + 5y + (3y + 10) + (9x + 1) + 82 = 180

Reorder the terms:
-24 + 5y + (10 + 3y) + (9x + 1) + 82 = 180

Remove parenthesis around (10 + 3y)
-24 + 5y + 10 + 3y + (9x + 1) + 82 = 180

Reorder the terms:
-24 + 5y + 10 + 3y + (1 + 9x) + 82 = 180

Remove parenthesis around (1 + 9x)
-24 + 5y + 10 + 3y + 1 + 9x + 82 = 180

Reorder the terms:
-24 + 10 + 1 + 82 + 9x + 5y + 3y = 180

Combine like terms: -24 + 10 = -14
-14 + 1 + 82 + 9x + 5y + 3y = 180

Combine like terms: -14 + 1 = -13
-13 + 82 + 9x + 5y + 3y = 180

Combine like terms: -13 + 82 = 69
69 + 9x + 5y + 3y = 180

Combine like terms: 5y + 3y = 8y
69 + 9x + 8y = 180

Solving
69 + 9x + 8y = 180

Solving for variable 'x'.

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

Add '-69' to each side of the equation.
69 + 9x + -69 + 8y = 180 + -69

Reorder the terms:
69 + -69 + 9x + 8y = 180 + -69

Combine like terms: 69 + -69 = 0
0 + 9x + 8y = 180 + -69
9x + 8y = 180 + -69

Combine like terms: 180 + -69 = 111
9x + 8y = 111

Add '-8y' to each side of the equation.
9x + 8y + -8y = 111 + -8y

Combine like terms: 8y + -8y = 0
9x + 0 = 111 + -8y
9x = 111 + -8y

Divide each side by '9'.
x = 12.33333333 + -0.8888888889y

Simplifying
x = 12.33333333 + -0.8888888889y

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