(3y)+(y+140)+(5x-100)+(x-20)=180

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Solution for (3y)+(y+140)+(5x-100)+(x-20)=180 equation: 


Simplifying
(3y) + (y + 140) + (5x + -100) + (x + -20) = 180

Reorder the terms:
(3y) + (140 + y) + (5x + -100) + (x + -20) = 180

Remove parenthesis around (140 + y)
(3y) + 140 + y + (5x + -100) + (x + -20) = 180

Reorder the terms:
(3y) + 140 + y + (-100 + 5x) + (x + -20) = 180

Remove parenthesis around (-100 + 5x)
(3y) + 140 + y + -100 + 5x + (x + -20) = 180

Reorder the terms:
(3y) + 140 + y + -100 + 5x + (-20 + x) = 180

Remove parenthesis around (-20 + x)
(3y) + 140 + y + -100 + 5x + -20 + x = 180

Reorder the terms:
140 + -100 + -20 + 5x + x + (3y) + y = 180

Combine like terms: 140 + -100 = 40
40 + -20 + 5x + x + (3y) + y = 180

Combine like terms: 40 + -20 = 20
20 + 5x + x + (3y) + y = 180

Combine like terms: 5x + x = 6x
20 + 6x + (3y) + y = 180

Combine like terms: (3y) + y = 4y
20 + 6x + 4y = 180

Solving
20 + 6x + 4y = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + 6x + -20 + 4y = 180 + -20

Reorder the terms:
20 + -20 + 6x + 4y = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 6x + 4y = 180 + -20
6x + 4y = 180 + -20

Combine like terms: 180 + -20 = 160
6x + 4y = 160

Add '-4y' to each side of the equation.
6x + 4y + -4y = 160 + -4y

Combine like terms: 4y + -4y = 0
6x + 0 = 160 + -4y
6x = 160 + -4y

Divide each side by '6'.
x = 26.66666667 + -0.6666666667y

Simplifying
x = 26.66666667 + -0.6666666667y

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