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Simplifying y2 + 2x + 8y + -15 = 0 Reorder the terms: -15 + 2x + 8y + y2 = 0 Solving -15 + 2x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 2x + 8y + 15 + y2 = 0 + 15 Reorder the terms: -15 + 15 + 2x + 8y + y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x + 8y + y2 = 0 + 15 2x + 8y + y2 = 0 + 15 Combine like terms: 0 + 15 = 15 2x + 8y + y2 = 15 Add '-8y' to each side of the equation. 2x + 8y + -8y + y2 = 15 + -8y Combine like terms: 8y + -8y = 0 2x + 0 + y2 = 15 + -8y 2x + y2 = 15 + -8y Add '-1y2' to each side of the equation. 2x + y2 + -1y2 = 15 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 2x + 0 = 15 + -8y + -1y2 2x = 15 + -8y + -1y2 Divide each side by '2'. x = 7.5 + -4y + -0.5y2 Simplifying x = 7.5 + -4y + -0.5y2
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