y=2y+3yx

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Solution for y=2y+3yx equation: 


Simplifying
y = 2y + 3yx

Reorder the terms:
y = 3xy + 2y

Solving
y = 3xy + 2y

Solving for variable 'y'.

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(3x + 1) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(3x + 1)' equal to zero and attempt to solve:

Simplifying
3x + 1 = 0

Reorder the terms:
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

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

Combine like terms: 3x + -3x = 0
0 = -1 + -3x

Simplifying
0 = -1 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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