x^2+Y^2-6x+6y=7

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Solution for x^2+Y^2-6x+6y=7 equation: 


Simplifying
x2 + Y2 + -6x + 6y = 7

Reorder the terms:
Y2 + -6x + x2 + 6y = 7

Solving
Y2 + -6x + x2 + 6y = 7

Solving for variable 'Y'.

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

Add '6x' to each side of the equation.
Y2 + -6x + x2 + 6x + 6y = 7 + 6x

Reorder the terms:
Y2 + -6x + 6x + x2 + 6y = 7 + 6x

Combine like terms: -6x + 6x = 0
Y2 + 0 + x2 + 6y = 7 + 6x
Y2 + x2 + 6y = 7 + 6x

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 + 6y = 7 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 + 6y = 7 + 6x + -1x2
Y2 + 6y = 7 + 6x + -1x2

Add '-6y' to each side of the equation.
Y2 + 6y + -6y = 7 + 6x + -1x2 + -6y

Combine like terms: 6y + -6y = 0
Y2 + 0 = 7 + 6x + -1x2 + -6y
Y2 = 7 + 6x + -1x2 + -6y

Simplifying
Y2 = 7 + 6x + -1x2 + -6y

Reorder the terms:
-7 + Y2 + -6x + x2 + 6y = 7 + 6x + -1x2 + -6y + -7 + -6x + x2 + 6y

Reorder the terms:
-7 + Y2 + -6x + x2 + 6y = 7 + -7 + 6x + -6x + -1x2 + x2 + -6y + 6y

Combine like terms: 7 + -7 = 0
-7 + Y2 + -6x + x2 + 6y = 0 + 6x + -6x + -1x2 + x2 + -6y + 6y
-7 + Y2 + -6x + x2 + 6y = 6x + -6x + -1x2 + x2 + -6y + 6y

Combine like terms: 6x + -6x = 0
-7 + Y2 + -6x + x2 + 6y = 0 + -1x2 + x2 + -6y + 6y
-7 + Y2 + -6x + x2 + 6y = -1x2 + x2 + -6y + 6y

Combine like terms: -1x2 + x2 = 0
-7 + Y2 + -6x + x2 + 6y = 0 + -6y + 6y
-7 + Y2 + -6x + x2 + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-7 + Y2 + -6x + x2 + 6y = 0

The solution to this equation could not be determined.

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