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Simplifying 4xy + y2 + 6y = 0 Reorder the terms: 4xy + 6y + y2 = 0 Solving 4xy + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4xy + 6y + -6y + y2 = 0 + -6y Combine like terms: 6y + -6y = 0 4xy + 0 + y2 = 0 + -6y 4xy + y2 = 0 + -6y Remove the zero: 4xy + y2 = -6y Add '-1y2' to each side of the equation. 4xy + y2 + -1y2 = -6y + -1y2 Combine like terms: y2 + -1y2 = 0 4xy + 0 = -6y + -1y2 4xy = -6y + -1y2 Divide each side by '4y'. x = -1.5 + -0.25y Simplifying x = -1.5 + -0.25y
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