y=10xy-5xy

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Solution for y=10xy-5xy equation: 


Simplifying
y = 10xy + -5xy

Combine like terms: 10xy + -5xy = 5xy
y = 5xy

Solving
y = 5xy

Solving for variable 'y'.

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

Add '-5xy' to each side of the equation.
-5xy + y = 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-5xy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5x + 1) = 0


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 '(-5x + 1)' equal to zero and attempt to solve:

Simplifying
-5x + 1 = 0

Reorder the terms:
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Add '5x' to each side of the equation.
-5x + 5x = -1 + 5x

Combine like terms: -5x + 5x = 0
0 = -1 + 5x

Simplifying
0 = -1 + 5x

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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