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Simplifying 0 = -1(4x + -2y) + -1[(2x + -3y) + -1(4x + -4y)] 0 = (4x * -1 + -2y * -1) + -1[(2x + -3y) + -1(4x + -4y)] 0 = (-4x + 2y) + -1[(2x + -3y) + -1(4x + -4y)] Remove parenthesis around (2x + -3y) 0 = -4x + 2y + -1[2x + -3y + -1(4x + -4y)] 0 = -4x + 2y + -1[2x + -3y + (4x * -1 + -4y * -1)] 0 = -4x + 2y + -1[2x + -3y + (-4x + 4y)] Reorder the terms: 0 = -4x + 2y + -1[2x + -4x + -3y + 4y] Combine like terms: 2x + -4x = -2x 0 = -4x + 2y + -1[-2x + -3y + 4y] Combine like terms: -3y + 4y = 1y 0 = -4x + 2y + -1[-2x + 1y] 0 = -4x + 2y + [-2x * -1 + 1y * -1] 0 = -4x + 2y + [2x + -1y] Reorder the terms: 0 = -4x + 2x + 2y + -1y Combine like terms: -4x + 2x = -2x 0 = -2x + 2y + -1y Combine like terms: 2y + -1y = 1y 0 = -2x + 1y Solving 0 = -2x + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0 + 2x = -2x + 2x + 1y Remove the zero: 2x = -2x + 2x + 1y Combine like terms: -2x + 2x = 0 2x = 0 + 1y 2x = 1y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y
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