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Simplifying y(x + 4) + -1(2xy + y) = 0 Reorder the terms: y(4 + x) + -1(2xy + y) = 0 (4 * y + x * y) + -1(2xy + y) = 0 Reorder the terms: (xy + 4y) + -1(2xy + y) = 0 (xy + 4y) + -1(2xy + y) = 0 xy + 4y + (2xy * -1 + y * -1) = 0 xy + 4y + (-2xy + -1y) = 0 Reorder the terms: xy + -2xy + 4y + -1y = 0 Combine like terms: xy + -2xy = -1xy -1xy + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y -1xy + 3y = 0 Solving -1xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -1xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1xy + 0 = 0 + -3y -1xy = 0 + -3y Remove the zero: -1xy = -3y Divide each side by '-1y'. x = 3 Simplifying x = 3
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