Y^2+6y-2x+8=10

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Solution for Y^2+6y-2x+8=10 equation:


Simplifying
Y2 + 6y + -2x + 8 = 10

Reorder the terms:
8 + Y2 + -2x + 6y = 10

Solving
8 + Y2 + -2x + 6y = 10

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + Y2 + -2x + -8 + 6y = 10 + -8

Reorder the terms:
8 + -8 + Y2 + -2x + 6y = 10 + -8

Combine like terms: 8 + -8 = 0
0 + Y2 + -2x + 6y = 10 + -8
Y2 + -2x + 6y = 10 + -8

Combine like terms: 10 + -8 = 2
Y2 + -2x + 6y = 2

Add '2x' to each side of the equation.
Y2 + -2x + 2x + 6y = 2 + 2x

Combine like terms: -2x + 2x = 0
Y2 + 0 + 6y = 2 + 2x
Y2 + 6y = 2 + 2x

Add '-6y' to each side of the equation.
Y2 + 6y + -6y = 2 + 2x + -6y

Combine like terms: 6y + -6y = 0
Y2 + 0 = 2 + 2x + -6y
Y2 = 2 + 2x + -6y

Simplifying
Y2 = 2 + 2x + -6y

Reorder the terms:
-2 + Y2 + -2x + 6y = 2 + 2x + -6y + -2 + -2x + 6y

Reorder the terms:
-2 + Y2 + -2x + 6y = 2 + -2 + 2x + -2x + -6y + 6y

Combine like terms: 2 + -2 = 0
-2 + Y2 + -2x + 6y = 0 + 2x + -2x + -6y + 6y
-2 + Y2 + -2x + 6y = 2x + -2x + -6y + 6y

Combine like terms: 2x + -2x = 0
-2 + Y2 + -2x + 6y = 0 + -6y + 6y
-2 + Y2 + -2x + 6y = -6y + 6y

Combine like terms: -6y + 6y = 0
-2 + Y2 + -2x + 6y = 0

The solution to this equation could not be determined.

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