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Simplifying y2 + 3x + -6y + 4 = 0 Reorder the terms: 4 + 3x + -6y + y2 = 0 Solving 4 + 3x + -6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -6y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + 3x + -6y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + -6y + y2 = 0 + -4 3x + -6y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x + -6y + y2 = -4 Add '6y' to each side of the equation. 3x + -6y + 6y + y2 = -4 + 6y Combine like terms: -6y + 6y = 0 3x + 0 + y2 = -4 + 6y 3x + y2 = -4 + 6y Add '-1y2' to each side of the equation. 3x + y2 + -1y2 = -4 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 3x + 0 = -4 + 6y + -1y2 3x = -4 + 6y + -1y2 Divide each side by '3'. x = -1.333333333 + 2y + -0.3333333333y2 Simplifying x = -1.333333333 + 2y + -0.3333333333y2
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