4-2x-y^2+2y=-y^2-4

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Solution for 4-2x-y^2+2y=-y^2-4 equation:


Simplifying
4 + -2x + -1y2 + 2y = -1y2 + -4

Reorder the terms:
4 + -2x + 2y + -1y2 = -1y2 + -4

Reorder the terms:
4 + -2x + 2y + -1y2 = -4 + -1y2

Add 'y2' to each side of the equation.
4 + -2x + 2y + -1y2 + y2 = -4 + -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + -2x + 2y + 0 = -4 + -1y2 + y2
4 + -2x + 2y = -4 + -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + -2x + 2y = -4 + 0
4 + -2x + 2y = -4

Solving
4 + -2x + 2y = -4

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -2x + -4 + 2y = -4 + -4

Reorder the terms:
4 + -4 + -2x + 2y = -4 + -4

Combine like terms: 4 + -4 = 0
0 + -2x + 2y = -4 + -4
-2x + 2y = -4 + -4

Combine like terms: -4 + -4 = -8
-2x + 2y = -8

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

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

Divide each side by '-2'.
x = 4 + y

Simplifying
x = 4 + y

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