2y+3y=4xy

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Solution for 2y+3y=4xy equation: 


Simplifying
2y + 3y = 4xy

Combine like terms: 2y + 3y = 5y
5y = 4xy

Solving
5y = 4xy

Solving for variable 'y'.

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

Add '-4xy' to each side of the equation.
-4xy + 5y = 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
-4xy + 5y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4x + 5) = 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 '(-4x + 5)' equal to zero and attempt to solve:

Simplifying
-4x + 5 = 0

Reorder the terms:
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Add '4x' to each side of the equation.
-4x + 4x = -5 + 4x

Combine like terms: -4x + 4x = 0
0 = -5 + 4x

Simplifying
0 = -5 + 4x

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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