2y(-3+5)=-6xy+10y

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Solution for 2y(-3+5)=-6xy+10y equation: 


Simplifying
2y(-3 + 5) = -6xy + 10y

Combine like terms: -3 + 5 = 2
2y(2) = -6xy + 10y

Reorder the terms for easier multiplication:
2 * 2y = -6xy + 10y

Multiply 2 * 2
4y = -6xy + 10y

Solving
4y = -6xy + 10y

Solving for variable 'y'.

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

Add '6xy' to each side of the equation.
6xy + 4y = -6xy + 6xy + 10y

Combine like terms: -6xy + 6xy = 0
6xy + 4y = 0 + 10y
6xy + 4y = 10y

Add '-10y' to each side of the equation.
6xy + 4y + -10y = 10y + -10y

Combine like terms: 4y + -10y = -6y
6xy + -6y = 10y + -10y

Combine like terms: 10y + -10y = 0
6xy + -6y = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(x + -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 '(x + -1)' equal to zero and attempt to solve:

Simplifying
x + -1 = 0

Reorder the terms:
-1 + x = 0

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

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

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

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

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

Simplifying
0 = 1 + -1x

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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