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Simplifying y2 + 8y + 12 + -2x = 0 Reorder the terms: 12 + -2x + 8y + y2 = 0 Solving 12 + -2x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -2x + 8y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + -2x + 8y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2x + 8y + y2 = 0 + -12 -2x + 8y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -2x + 8y + y2 = -12 Add '-8y' to each side of the equation. -2x + 8y + -8y + y2 = -12 + -8y Combine like terms: 8y + -8y = 0 -2x + 0 + y2 = -12 + -8y -2x + y2 = -12 + -8y Add '-1y2' to each side of the equation. -2x + y2 + -1y2 = -12 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 -2x + 0 = -12 + -8y + -1y2 -2x = -12 + -8y + -1y2 Divide each side by '-2'. x = 6 + 4y + 0.5y2 Simplifying x = 6 + 4y + 0.5y2
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