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Simplifying y2 + 3x + -8y + 34 = 0 Reorder the terms: 34 + 3x + -8y + y2 = 0 Solving 34 + 3x + -8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 3x + -8y + -34 + y2 = 0 + -34 Reorder the terms: 34 + -34 + 3x + -8y + y2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 3x + -8y + y2 = 0 + -34 3x + -8y + y2 = 0 + -34 Combine like terms: 0 + -34 = -34 3x + -8y + y2 = -34 Add '8y' to each side of the equation. 3x + -8y + 8y + y2 = -34 + 8y Combine like terms: -8y + 8y = 0 3x + 0 + y2 = -34 + 8y 3x + y2 = -34 + 8y Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = -34 + 8y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = -34 + 8y + -1y2 3x = -34 + 8y + -1y2 Divide each side by '3'. x = -11.33333333 + 2.666666667y + -0.3333333333y2 Simplifying x = -11.33333333 + 2.666666667y + -0.3333333333y2
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