y+(3x+5)+(8y-35)=180

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Solution for y+(3x+5)+(8y-35)=180 equation:


Simplifying
y + (3x + 5) + (8y + -35) = 180

Reorder the terms:
y + (5 + 3x) + (8y + -35) = 180

Remove parenthesis around (5 + 3x)
y + 5 + 3x + (8y + -35) = 180

Reorder the terms:
y + 5 + 3x + (-35 + 8y) = 180

Remove parenthesis around (-35 + 8y)
y + 5 + 3x + -35 + 8y = 180

Reorder the terms:
5 + -35 + 3x + y + 8y = 180

Combine like terms: 5 + -35 = -30
-30 + 3x + y + 8y = 180

Combine like terms: y + 8y = 9y
-30 + 3x + 9y = 180

Solving
-30 + 3x + 9y = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 3x + 30 + 9y = 180 + 30

Reorder the terms:
-30 + 30 + 3x + 9y = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 3x + 9y = 180 + 30
3x + 9y = 180 + 30

Combine like terms: 180 + 30 = 210
3x + 9y = 210

Add '-9y' to each side of the equation.
3x + 9y + -9y = 210 + -9y

Combine like terms: 9y + -9y = 0
3x + 0 = 210 + -9y
3x = 210 + -9y

Divide each side by '3'.
x = 70 + -3y

Simplifying
x = 70 + -3y

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