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

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


Simplifying
(x + -2)(3 + y) = (x + -2)(3 + y)

Reorder the terms:
(-2 + x)(3 + y) = (x + -2)(3 + y)

Multiply (-2 + x) * (3 + y)
(-2(3 + y) + x(3 + y)) = (x + -2)(3 + y)
((3 * -2 + y * -2) + x(3 + y)) = (x + -2)(3 + y)
((-6 + -2y) + x(3 + y)) = (x + -2)(3 + y)
(-6 + -2y + (3 * x + y * x)) = (x + -2)(3 + y)
(-6 + -2y + (3x + xy)) = (x + -2)(3 + y)

Reorder the terms:
(-6 + 3x + xy + -2y) = (x + -2)(3 + y)
(-6 + 3x + xy + -2y) = (x + -2)(3 + y)

Reorder the terms:
-6 + 3x + xy + -2y = (-2 + x)(3 + y)

Multiply (-2 + x) * (3 + y)
-6 + 3x + xy + -2y = (-2(3 + y) + x(3 + y))
-6 + 3x + xy + -2y = ((3 * -2 + y * -2) + x(3 + y))
-6 + 3x + xy + -2y = ((-6 + -2y) + x(3 + y))
-6 + 3x + xy + -2y = (-6 + -2y + (3 * x + y * x))
-6 + 3x + xy + -2y = (-6 + -2y + (3x + xy))

Reorder the terms:
-6 + 3x + xy + -2y = (-6 + 3x + xy + -2y)
-6 + 3x + xy + -2y = (-6 + 3x + xy + -2y)

Add '6' to each side of the equation.
-6 + 3x + xy + 6 + -2y = -6 + 3x + xy + 6 + -2y

Reorder the terms:
-6 + 6 + 3x + xy + -2y = -6 + 3x + xy + 6 + -2y

Combine like terms: -6 + 6 = 0
0 + 3x + xy + -2y = -6 + 3x + xy + 6 + -2y
3x + xy + -2y = -6 + 3x + xy + 6 + -2y

Reorder the terms:
3x + xy + -2y = -6 + 6 + 3x + xy + -2y

Combine like terms: -6 + 6 = 0
3x + xy + -2y = 0 + 3x + xy + -2y
3x + xy + -2y = 3x + xy + -2y

Add '-3x' to each side of the equation.
3x + xy + -3x + -2y = 3x + xy + -3x + -2y

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

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

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

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

Add '-1xy' to each side of the equation.
xy + -1xy + -2y = xy + -1xy + -2y

Combine like terms: xy + -1xy = 0
0 + -2y = xy + -1xy + -2y
-2y = xy + -1xy + -2y

Combine like terms: xy + -1xy = 0
-2y = 0 + -2y
-2y = -2y

Add '2y' to each side of the equation.
-2y + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
0 = -2y + 2y

Combine like terms: -2y + 2y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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