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Simplifying y2 + 4y + -2x + -6 = 0 Reorder the terms: -6 + -2x + 4y + y2 = 0 Solving -6 + -2x + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2x + 4y + 6 + y2 = 0 + 6 Reorder the terms: -6 + 6 + -2x + 4y + y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + 4y + y2 = 0 + 6 -2x + 4y + y2 = 0 + 6 Combine like terms: 0 + 6 = 6 -2x + 4y + y2 = 6 Add '-4y' to each side of the equation. -2x + 4y + -4y + y2 = 6 + -4y Combine like terms: 4y + -4y = 0 -2x + 0 + y2 = 6 + -4y -2x + y2 = 6 + -4y Add '-1y2' to each side of the equation. -2x + y2 + -1y2 = 6 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 -2x + 0 = 6 + -4y + -1y2 -2x = 6 + -4y + -1y2 Divide each side by '-2'. x = -3 + 2y + 0.5y2 Simplifying x = -3 + 2y + 0.5y2
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