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Simplifying y2 + 2y + 2xy + 2y + 1 = 0 Reorder the terms: 1 + 2xy + 2y + 2y + y2 = 0 Combine like terms: 2y + 2y = 4y 1 + 2xy + 4y + y2 = 0 Solving 1 + 2xy + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2xy + 4y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 2xy + 4y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2xy + 4y + y2 = 0 + -1 2xy + 4y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 2xy + 4y + y2 = -1 Add '-4y' to each side of the equation. 2xy + 4y + -4y + y2 = -1 + -4y Combine like terms: 4y + -4y = 0 2xy + 0 + y2 = -1 + -4y 2xy + y2 = -1 + -4y Add '-1y2' to each side of the equation. 2xy + y2 + -1y2 = -1 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 2xy + 0 = -1 + -4y + -1y2 2xy = -1 + -4y + -1y2 Divide each side by '2y'. x = -0.5y-1 + -2 + -0.5y Simplifying x = -0.5y-1 + -2 + -0.5y Reorder the terms: x = -2 + -0.5y-1 + -0.5y
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