Xy+3xy-6xy-2xy+8xy+y-2xy=0

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Solution for Xy+3xy-6xy-2xy+8xy+y-2xy=0 equation:


Simplifying
Xy + 3xy + -6xy + -2xy + 8xy + y + -2xy = 0

Reorder the terms:
3xy + -6xy + -2xy + 8xy + -2xy + y + yX = 0

Combine like terms: 3xy + -6xy = -3xy
-3xy + -2xy + 8xy + -2xy + y + yX = 0

Combine like terms: -3xy + -2xy = -5xy
-5xy + 8xy + -2xy + y + yX = 0

Combine like terms: -5xy + 8xy = 3xy
3xy + -2xy + y + yX = 0

Combine like terms: 3xy + -2xy = 1xy
1xy + y + yX = 0

Solving
1xy + y + yX = 0

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
1xy + y + -1y + yX = 0 + -1y

Combine like terms: y + -1y = 0
1xy + 0 + yX = 0 + -1y
1xy + yX = 0 + -1y
Remove the zero:
1xy + yX = -1y

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

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

Divide each side by '1y'.
x = -1 + -1X

Simplifying
x = -1 + -1X

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