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Simplifying y2 + 3x + 4y + -8 = 0 Reorder the terms: -8 + 3x + 4y + y2 = 0 Solving -8 + 3x + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3x + 4y + 8 + y2 = 0 + 8 Reorder the terms: -8 + 8 + 3x + 4y + y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x + 4y + y2 = 0 + 8 3x + 4y + y2 = 0 + 8 Combine like terms: 0 + 8 = 8 3x + 4y + y2 = 8 Add '-4y' to each side of the equation. 3x + 4y + -4y + y2 = 8 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + y2 = 8 + -4y 3x + y2 = 8 + -4y Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = 8 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = 8 + -4y + -1y2 3x = 8 + -4y + -1y2 Divide each side by '3'. x = 2.666666667 + -1.333333333y + -0.3333333333y2 Simplifying x = 2.666666667 + -1.333333333y + -0.3333333333y2
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