y(3x-2)=(3x-1)

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Solution for y(3x-2)=(3x-1) equation:


Simplifying
y(3x + -2) = (3x + -1)

Reorder the terms:
y(-2 + 3x) = (3x + -1)
(-2 * y + 3x * y) = (3x + -1)

Reorder the terms:
(3xy + -2y) = (3x + -1)
(3xy + -2y) = (3x + -1)

Reorder the terms:
3xy + -2y = (-1 + 3x)

Remove parenthesis around (-1 + 3x)
3xy + -2y = -1 + 3x

Solving
3xy + -2y = -1 + 3x

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.
3xy + -3x + -2y = -1 + 3x + -3x

Reorder the terms:
-3x + 3xy + -2y = -1 + 3x + -3x

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

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

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

Reorder the terms:
1 + -3x + 3xy + -2y = -1 + 2y + 1 + -2y

Reorder the terms:
1 + -3x + 3xy + -2y = -1 + 1 + 2y + -2y

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

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

The solution to this equation could not be determined.

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