2+4(y-3)=yx-10

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Solution for 2+4(y-3)=yx-10 equation: 


Simplifying
2 + 4(y + -3) = yx + -10

Reorder the terms:
2 + 4(-3 + y) = yx + -10
2 + (-3 * 4 + y * 4) = yx + -10
2 + (-12 + 4y) = yx + -10

Combine like terms: 2 + -12 = -10
-10 + 4y = yx + -10

Reorder the terms:
-10 + 4y = -10 + xy

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

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

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

Solving
4y = xy

Solving for variable 'y'.

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

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

Combine like terms: xy + -1xy = 0
-1xy + 4y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1x + 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 y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(-1x + 4)' equal to zero and attempt to solve:

Simplifying
-1x + 4 = 0

Reorder the terms:
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

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

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

Simplifying
0 = -4 + x

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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