(2x+3y)-(2x-3y)=24xy

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Solution for (2x+3y)-(2x-3y)=24xy equation: 


Simplifying
(2x + 3y) + -1(2x + -3y) = 24xy

Remove parenthesis around (2x + 3y)
2x + 3y + -1(2x + -3y) = 24xy
2x + 3y + (2x * -1 + -3y * -1) = 24xy
2x + 3y + (-2x + 3y) = 24xy

Reorder the terms:
2x + -2x + 3y + 3y = 24xy

Combine like terms: 2x + -2x = 0
0 + 3y + 3y = 24xy
3y + 3y = 24xy

Combine like terms: 3y + 3y = 6y
6y = 24xy

Solving
6y = 24xy

Solving for variable 'y'.

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

Add '-24xy' to each side of the equation.
-24xy + 6y = 24xy + -24xy

Combine like terms: 24xy + -24xy = 0
-24xy + 6y = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-4x + 1) = 0

Ignore the factor 6.

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 + 1)' equal to zero and attempt to solve:

Simplifying
-4x + 1 = 0

Reorder the terms:
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Add '4x' to each side of the equation.
-4x + 4x = -1 + 4x

Combine like terms: -4x + 4x = 0
0 = -1 + 4x

Simplifying
0 = -1 + 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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