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