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Simplifying y2 + 6y + 6x + 3 = 0 Reorder the terms: 3 + 6x + 6y + y2 = 0 Solving 3 + 6x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6x + 6y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 6x + 6y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x + 6y + y2 = 0 + -3 6x + 6y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 6x + 6y + y2 = -3 Add '-6y' to each side of the equation. 6x + 6y + -6y + y2 = -3 + -6y Combine like terms: 6y + -6y = 0 6x + 0 + y2 = -3 + -6y 6x + y2 = -3 + -6y Add '-1y2' to each side of the equation. 6x + y2 + -1y2 = -3 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 6x + 0 = -3 + -6y + -1y2 6x = -3 + -6y + -1y2 Divide each side by '6'. x = -0.5 + -1y + -0.1666666667y2 Simplifying x = -0.5 + -1y + -0.1666666667y2
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