Xy+7=xy+7

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Solution for Xy+7=xy+7 equation: 


Simplifying
Xy + 7 = xy + 7

Reorder the terms:
7 + yX = xy + 7

Reorder the terms:
7 + yX = 7 + xy

Add '-7' to each side of the equation.
7 + -7 + yX = 7 + -7 + xy

Combine like terms: 7 + -7 = 0
0 + yX = 7 + -7 + xy
yX = 7 + -7 + xy

Combine like terms: 7 + -7 = 0
yX = 0 + xy
yX = xy

Solving
yX = 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 + yX = xy + -1xy

Combine like terms: xy + -1xy = 0
-1xy + yX = 0

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

Simplifying
-1x + X = 0

Reorder the terms:
X + -1x = 0

Solving
X + -1x = 0

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

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

Combine like terms: X + -1X = 0
0 + -1x = 0 + -1X
-1x = 0 + -1X
Remove the zero:
-1x = -1X

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

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

Simplifying
0 = -1X + 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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