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Simplifying y2 + 8y + -2x + 10 = 0 Reorder the terms: 10 + -2x + 8y + y2 = 0 Solving 10 + -2x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2x + 8y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + -2x + 8y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + 8y + y2 = 0 + -10 -2x + 8y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + 8y + y2 = -10 Add '-8y' to each side of the equation. -2x + 8y + -8y + y2 = -10 + -8y Combine like terms: 8y + -8y = 0 -2x + 0 + y2 = -10 + -8y -2x + y2 = -10 + -8y Add '-1y2' to each side of the equation. -2x + y2 + -1y2 = -10 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 -2x + 0 = -10 + -8y + -1y2 -2x = -10 + -8y + -1y2 Divide each side by '-2'. x = 5 + 4y + 0.5y2 Simplifying x = 5 + 4y + 0.5y2
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