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Simplifying y2 + -3x + 6y + 12 = 0 Reorder the terms: 12 + -3x + 6y + y2 = 0 Solving 12 + -3x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -3x + 6y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + -3x + 6y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3x + 6y + y2 = 0 + -12 -3x + 6y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -3x + 6y + y2 = -12 Add '-6y' to each side of the equation. -3x + 6y + -6y + y2 = -12 + -6y Combine like terms: 6y + -6y = 0 -3x + 0 + y2 = -12 + -6y -3x + y2 = -12 + -6y Add '-1y2' to each side of the equation. -3x + y2 + -1y2 = -12 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 -3x + 0 = -12 + -6y + -1y2 -3x = -12 + -6y + -1y2 Divide each side by '-3'. x = 4 + 2y + 0.3333333333y2 Simplifying x = 4 + 2y + 0.3333333333y2
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