(3y)+(5x-100)+(y+14)+(x-20)=360

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Solution for (3y)+(5x-100)+(y+14)+(x-20)=360 equation:


Simplifying
(3y) + (5x + -100) + (y + 14) + (x + -20) = 360

Reorder the terms:
(3y) + (-100 + 5x) + (y + 14) + (x + -20) = 360

Remove parenthesis around (-100 + 5x)
(3y) + -100 + 5x + (y + 14) + (x + -20) = 360

Reorder the terms:
(3y) + -100 + 5x + (14 + y) + (x + -20) = 360

Remove parenthesis around (14 + y)
(3y) + -100 + 5x + 14 + y + (x + -20) = 360

Reorder the terms:
(3y) + -100 + 5x + 14 + y + (-20 + x) = 360

Remove parenthesis around (-20 + x)
(3y) + -100 + 5x + 14 + y + -20 + x = 360

Reorder the terms:
-100 + 14 + -20 + 5x + x + (3y) + y = 360

Combine like terms: -100 + 14 = -86
-86 + -20 + 5x + x + (3y) + y = 360

Combine like terms: -86 + -20 = -106
-106 + 5x + x + (3y) + y = 360

Combine like terms: 5x + x = 6x
-106 + 6x + (3y) + y = 360

Combine like terms: (3y) + y = 4y
-106 + 6x + 4y = 360

Solving
-106 + 6x + 4y = 360

Solving for variable 'x'.

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

Add '106' to each side of the equation.
-106 + 6x + 106 + 4y = 360 + 106

Reorder the terms:
-106 + 106 + 6x + 4y = 360 + 106

Combine like terms: -106 + 106 = 0
0 + 6x + 4y = 360 + 106
6x + 4y = 360 + 106

Combine like terms: 360 + 106 = 466
6x + 4y = 466

Add '-4y' to each side of the equation.
6x + 4y + -4y = 466 + -4y

Combine like terms: 4y + -4y = 0
6x + 0 = 466 + -4y
6x = 466 + -4y

Divide each side by '6'.
x = 77.66666667 + -0.6666666667y

Simplifying
x = 77.66666667 + -0.6666666667y

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