(3y-20)+(4y+4)+4x+(2x+6)=360

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Solution for (3y-20)+(4y+4)+4x+(2x+6)=360 equation:


Simplifying
(3y + -20) + (4y + 4) + 4x + (2x + 6) = 360

Reorder the terms:
(-20 + 3y) + (4y + 4) + 4x + (2x + 6) = 360

Remove parenthesis around (-20 + 3y)
-20 + 3y + (4y + 4) + 4x + (2x + 6) = 360

Reorder the terms:
-20 + 3y + (4 + 4y) + 4x + (2x + 6) = 360

Remove parenthesis around (4 + 4y)
-20 + 3y + 4 + 4y + 4x + (2x + 6) = 360

Reorder the terms:
-20 + 3y + 4 + 4y + 4x + (6 + 2x) = 360

Remove parenthesis around (6 + 2x)
-20 + 3y + 4 + 4y + 4x + 6 + 2x = 360

Reorder the terms:
-20 + 4 + 6 + 4x + 2x + 3y + 4y = 360

Combine like terms: -20 + 4 = -16
-16 + 6 + 4x + 2x + 3y + 4y = 360

Combine like terms: -16 + 6 = -10
-10 + 4x + 2x + 3y + 4y = 360

Combine like terms: 4x + 2x = 6x
-10 + 6x + 3y + 4y = 360

Combine like terms: 3y + 4y = 7y
-10 + 6x + 7y = 360

Solving
-10 + 6x + 7y = 360

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 6x + 10 + 7y = 360 + 10

Reorder the terms:
-10 + 10 + 6x + 7y = 360 + 10

Combine like terms: -10 + 10 = 0
0 + 6x + 7y = 360 + 10
6x + 7y = 360 + 10

Combine like terms: 360 + 10 = 370
6x + 7y = 370

Add '-7y' to each side of the equation.
6x + 7y + -7y = 370 + -7y

Combine like terms: 7y + -7y = 0
6x + 0 = 370 + -7y
6x = 370 + -7y

Divide each side by '6'.
x = 61.66666667 + -1.166666667y

Simplifying
x = 61.66666667 + -1.166666667y

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