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Simplifying y2 + 4xy + -6y + 1 = 0 Reorder the terms: 1 + 4xy + -6y + y2 = 0 Solving 1 + 4xy + -6y + 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 + 4xy + -6y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 4xy + -6y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4xy + -6y + y2 = 0 + -1 4xy + -6y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 4xy + -6y + y2 = -1 Add '6y' to each side of the equation. 4xy + -6y + 6y + y2 = -1 + 6y Combine like terms: -6y + 6y = 0 4xy + 0 + y2 = -1 + 6y 4xy + y2 = -1 + 6y Add '-1y2' to each side of the equation. 4xy + y2 + -1y2 = -1 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 4xy + 0 = -1 + 6y + -1y2 4xy = -1 + 6y + -1y2 Divide each side by '4y'. x = -0.25y-1 + 1.5 + -0.25y Simplifying x = -0.25y-1 + 1.5 + -0.25y Reorder the terms: x = 1.5 + -0.25y-1 + -0.25y
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