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Simplifying 2x + -1(y + -1x) * i + -1y = 4 + -2i Reorder the terms: 2x + -1(-1x + y) * i + -1y = 4 + -2i Reorder the terms for easier multiplication: 2x + -1i(-1x + y) + -1y = 4 + -2i 2x + (-1x * -1i + y * -1i) + -1y = 4 + -2i 2x + (1ix + -1iy) + -1y = 4 + -2i Reorder the terms: 1ix + -1iy + 2x + -1y = 4 + -2i Solving 1ix + -1iy + 2x + -1y = 4 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. 1ix + -1iy + 2x + 2i + -1y = 4 + -2i + 2i Reorder the terms: 2i + 1ix + -1iy + 2x + -1y = 4 + -2i + 2i Combine like terms: -2i + 2i = 0 2i + 1ix + -1iy + 2x + -1y = 4 + 0 2i + 1ix + -1iy + 2x + -1y = 4 Add '-2x' to each side of the equation. 2i + 1ix + -1iy + 2x + -2x + -1y = 4 + -2x Combine like terms: 2x + -2x = 0 2i + 1ix + -1iy + 0 + -1y = 4 + -2x 2i + 1ix + -1iy + -1y = 4 + -2x Add 'y' to each side of the equation. 2i + 1ix + -1iy + -1y + y = 4 + -2x + y Combine like terms: -1y + y = 0 2i + 1ix + -1iy + 0 = 4 + -2x + y 2i + 1ix + -1iy = 4 + -2x + y Reorder the terms: -4 + 2i + 1ix + -1iy + 2x + -1y = 4 + -2x + y + -4 + 2x + -1y Reorder the terms: -4 + 2i + 1ix + -1iy + 2x + -1y = 4 + -4 + -2x + 2x + y + -1y Combine like terms: 4 + -4 = 0 -4 + 2i + 1ix + -1iy + 2x + -1y = 0 + -2x + 2x + y + -1y -4 + 2i + 1ix + -1iy + 2x + -1y = -2x + 2x + y + -1y Combine like terms: -2x + 2x = 0 -4 + 2i + 1ix + -1iy + 2x + -1y = 0 + y + -1y -4 + 2i + 1ix + -1iy + 2x + -1y = y + -1y Combine like terms: y + -1y = 0 -4 + 2i + 1ix + -1iy + 2x + -1y = 0 The solution to this equation could not be determined.
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