y+(4x-30)+5y-20=180

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Solution for y+(4x-30)+5y-20=180 equation: 


Simplifying
y + (4x + -30) + 5y + -20 = 180

Reorder the terms:
y + (-30 + 4x) + 5y + -20 = 180

Remove parenthesis around (-30 + 4x)
y + -30 + 4x + 5y + -20 = 180

Reorder the terms:
-30 + -20 + 4x + y + 5y = 180

Combine like terms: -30 + -20 = -50
-50 + 4x + y + 5y = 180

Combine like terms: y + 5y = 6y
-50 + 4x + 6y = 180

Solving
-50 + 4x + 6y = 180

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 4x + 50 + 6y = 180 + 50

Reorder the terms:
-50 + 50 + 4x + 6y = 180 + 50

Combine like terms: -50 + 50 = 0
0 + 4x + 6y = 180 + 50
4x + 6y = 180 + 50

Combine like terms: 180 + 50 = 230
4x + 6y = 230

Add '-6y' to each side of the equation.
4x + 6y + -6y = 230 + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = 230 + -6y
4x = 230 + -6y

Divide each side by '4'.
x = 57.5 + -1.5y

Simplifying
x = 57.5 + -1.5y

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