(7xy^2+4x^2y-y)-(-2x^2y-6xy^2+3y)=

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Solution for (7xy^2+4x^2y-y)-(-2x^2y-6xy^2+3y)= equation: 


Simplifying
(7xy2 + 4x2y + -1y) + -1(-2x2y + -6xy2 + 3y) = 0

Remove parenthesis around (7xy2 + 4x2y + -1y)
7xy2 + 4x2y + -1y + -1(-2x2y + -6xy2 + 3y) = 0

Reorder the terms:
7xy2 + 4x2y + -1y + -1(-6xy2 + -2x2y + 3y) = 0
7xy2 + 4x2y + -1y + (-6xy2 * -1 + -2x2y * -1 + 3y * -1) = 0
7xy2 + 4x2y + -1y + (6xy2 + 2x2y + -3y) = 0

Reorder the terms:
7xy2 + 6xy2 + 4x2y + 2x2y + -1y + -3y = 0

Combine like terms: 7xy2 + 6xy2 = 13xy2
13xy2 + 4x2y + 2x2y + -1y + -3y = 0

Combine like terms: 4x2y + 2x2y = 6x2y
13xy2 + 6x2y + -1y + -3y = 0

Combine like terms: -1y + -3y = -4y
13xy2 + 6x2y + -4y = 0

Solving
13xy2 + 6x2y + -4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(13xy + 6x2 + -4) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(13xy + 6x2 + -4)' equal to zero and attempt to solve:

Simplifying
13xy + 6x2 + -4 = 0

Reorder the terms:
-4 + 13xy + 6x2 = 0

Solving
-4 + 13xy + 6x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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