3x+y=9y-3(x-3)

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Solution for 3x+y=9y-3(x-3) equation:


Simplifying
3x + y = 9y + -3(x + -3)

Reorder the terms:
3x + y = 9y + -3(-3 + x)
3x + y = 9y + (-3 * -3 + x * -3)
3x + y = 9y + (9 + -3x)

Reorder the terms:
3x + y = 9 + -3x + 9y

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

Solving for variable 'x'.

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

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

Combine like terms: 3x + 3x = 6x
6x + y = 9 + -3x + 3x + 9y

Combine like terms: -3x + 3x = 0
6x + y = 9 + 0 + 9y
6x + y = 9 + 9y

Add '-1y' to each side of the equation.
6x + y + -1y = 9 + 9y + -1y

Combine like terms: y + -1y = 0
6x + 0 = 9 + 9y + -1y
6x = 9 + 9y + -1y

Combine like terms: 9y + -1y = 8y
6x = 9 + 8y

Divide each side by '6'.
x = 1.5 + 1.333333333y

Simplifying
x = 1.5 + 1.333333333y

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