(3x+y)3=x-2y

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Solution for (3x+y)3=x-2y equation:


Simplifying
(3x + y) * 3 = x + -2y

Reorder the terms for easier multiplication:
3(3x + y) = x + -2y
(3x * 3 + y * 3) = x + -2y
(9x + 3y) = x + -2y

Solving
9x + 3y = x + -2y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9x + -1x + 3y = x + -1x + -2y

Combine like terms: 9x + -1x = 8x
8x + 3y = x + -1x + -2y

Combine like terms: x + -1x = 0
8x + 3y = 0 + -2y
8x + 3y = -2y

Add '-3y' to each side of the equation.
8x + 3y + -3y = -2y + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = -2y + -3y
8x = -2y + -3y

Combine like terms: -2y + -3y = -5y
8x = -5y

Divide each side by '8'.
x = -0.625y

Simplifying
x = -0.625y

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