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Simplifying y2 + -3x + -6y + 8 = 0 Reorder the terms: 8 + -3x + -6y + y2 = 0 Solving 8 + -3x + -6y + 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 + -6y + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + -3x + -6y + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + -6y + y2 = 0 + -8 -3x + -6y + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x + -6y + y2 = -8 Add '6y' to each side of the equation. -3x + -6y + 6y + y2 = -8 + 6y Combine like terms: -6y + 6y = 0 -3x + 0 + y2 = -8 + 6y -3x + y2 = -8 + 6y Add '-1y2' to each side of the equation. -3x + y2 + -1y2 = -8 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 -3x + 0 = -8 + 6y + -1y2 -3x = -8 + 6y + -1y2 Divide each side by '-3'. x = 2.666666667 + -2y + 0.3333333333y2 Simplifying x = 2.666666667 + -2y + 0.3333333333y2
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