y=9y+3yx

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Solution for y=9y+3yx equation: 


Simplifying
y = 9y + 3yx

Reorder the terms:
y = 3xy + 9y

Solving
y = 3xy + 9y

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 + 9y

Combine like terms: 3xy + -3xy = 0
-3xy + y = 0 + 9y
-3xy + y = 9y

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

Combine like terms: y + -9y = -8y
-3xy + -8y = 9y + -9y

Combine like terms: 9y + -9y = 0
-3xy + -8y = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(3x + 8) = 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 + 8)' equal to zero and attempt to solve:

Simplifying
3x + 8 = 0

Reorder the terms:
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

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

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

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

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

Simplifying
0 = -8 + -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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