360=(8y-102)+(3x)+(3x)+(2y+6)

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Solution for 360=(8y-102)+(3x)+(3x)+(2y+6) equation:


Simplifying
360 = (8y + -102) + (3x) + (3x) + (2y + 6)

Reorder the terms:
360 = (-102 + 8y) + (3x) + (3x) + (2y + 6)

Remove parenthesis around (-102 + 8y)
360 = -102 + 8y + (3x) + (3x) + (2y + 6)

Reorder the terms:
360 = -102 + 8y + (3x) + (3x) + (6 + 2y)

Remove parenthesis around (6 + 2y)
360 = -102 + 8y + (3x) + (3x) + 6 + 2y

Reorder the terms:
360 = -102 + 6 + (3x) + (3x) + 8y + 2y

Combine like terms: -102 + 6 = -96
360 = -96 + (3x) + (3x) + 8y + 2y

Combine like terms: (3x) + (3x) = 6x
360 = -96 + 6x + 8y + 2y

Combine like terms: 8y + 2y = 10y
360 = -96 + 6x + 10y

Solving
360 = -96 + 6x + 10y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
360 + -6x = -96 + 6x + -6x + 10y

Combine like terms: 6x + -6x = 0
360 + -6x = -96 + 0 + 10y
360 + -6x = -96 + 10y

Add '-360' to each side of the equation.
360 + -360 + -6x = -96 + -360 + 10y

Combine like terms: 360 + -360 = 0
0 + -6x = -96 + -360 + 10y
-6x = -96 + -360 + 10y

Combine like terms: -96 + -360 = -456
-6x = -456 + 10y

Divide each side by '-6'.
x = 76 + -1.666666667y

Simplifying
x = 76 + -1.666666667y

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