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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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