(Y^2)-(x^2)+6x-4y=6

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Solution for (Y^2)-(x^2)+6x-4y=6 equation: 


Simplifying
(Y2) + -1(x2) + 6x + -4y = 6
Y2 + -1(x2) + 6x + -4y = 6

Reorder the terms:
Y2 + 6x + -1x2 + -4y = 6

Solving
Y2 + 6x + -1x2 + -4y = 6

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 + -1x2 + -6x + -4y = 6 + -6x

Reorder the terms:
Y2 + 6x + -6x + -1x2 + -4y = 6 + -6x

Combine like terms: 6x + -6x = 0
Y2 + 0 + -1x2 + -4y = 6 + -6x
Y2 + -1x2 + -4y = 6 + -6x

Add 'x2' to each side of the equation.
Y2 + -1x2 + x2 + -4y = 6 + -6x + x2

Combine like terms: -1x2 + x2 = 0
Y2 + 0 + -4y = 6 + -6x + x2
Y2 + -4y = 6 + -6x + x2

Add '4y' to each side of the equation.
Y2 + -4y + 4y = 6 + -6x + x2 + 4y

Combine like terms: -4y + 4y = 0
Y2 + 0 = 6 + -6x + x2 + 4y
Y2 = 6 + -6x + x2 + 4y

Simplifying
Y2 = 6 + -6x + x2 + 4y

Reorder the terms:
-6 + Y2 + 6x + -1x2 + -4y = 6 + -6x + x2 + 4y + -6 + 6x + -1x2 + -4y

Reorder the terms:
-6 + Y2 + 6x + -1x2 + -4y = 6 + -6 + -6x + 6x + x2 + -1x2 + 4y + -4y

Combine like terms: 6 + -6 = 0
-6 + Y2 + 6x + -1x2 + -4y = 0 + -6x + 6x + x2 + -1x2 + 4y + -4y
-6 + Y2 + 6x + -1x2 + -4y = -6x + 6x + x2 + -1x2 + 4y + -4y

Combine like terms: -6x + 6x = 0
-6 + Y2 + 6x + -1x2 + -4y = 0 + x2 + -1x2 + 4y + -4y
-6 + Y2 + 6x + -1x2 + -4y = x2 + -1x2 + 4y + -4y

Combine like terms: x2 + -1x2 = 0
-6 + Y2 + 6x + -1x2 + -4y = 0 + 4y + -4y
-6 + Y2 + 6x + -1x2 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + Y2 + 6x + -1x2 + -4y = 0

The solution to this equation could not be determined.

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