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Simplifying 2x + -1y + (3y + -2x) * i = 2 + -2i Reorder the terms: 2x + -1y + (-2x + 3y) * i = 2 + -2i Reorder the terms for easier multiplication: 2x + -1y + i(-2x + 3y) = 2 + -2i 2x + -1y + (-2x * i + 3y * i) = 2 + -2i 2x + -1y + (-2ix + 3iy) = 2 + -2i Reorder the terms: -2ix + 3iy + 2x + -1y = 2 + -2i Solving -2ix + 3iy + 2x + -1y = 2 + -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. -2ix + 3iy + 2x + 2i + -1y = 2 + -2i + 2i Reorder the terms: 2i + -2ix + 3iy + 2x + -1y = 2 + -2i + 2i Combine like terms: -2i + 2i = 0 2i + -2ix + 3iy + 2x + -1y = 2 + 0 2i + -2ix + 3iy + 2x + -1y = 2 Add '-2x' to each side of the equation. 2i + -2ix + 3iy + 2x + -2x + -1y = 2 + -2x Combine like terms: 2x + -2x = 0 2i + -2ix + 3iy + 0 + -1y = 2 + -2x 2i + -2ix + 3iy + -1y = 2 + -2x Add 'y' to each side of the equation. 2i + -2ix + 3iy + -1y + y = 2 + -2x + y Combine like terms: -1y + y = 0 2i + -2ix + 3iy + 0 = 2 + -2x + y 2i + -2ix + 3iy = 2 + -2x + y Reorder the terms: -2 + 2i + -2ix + 3iy + 2x + -1y = 2 + -2x + y + -2 + 2x + -1y Reorder the terms: -2 + 2i + -2ix + 3iy + 2x + -1y = 2 + -2 + -2x + 2x + y + -1y Combine like terms: 2 + -2 = 0 -2 + 2i + -2ix + 3iy + 2x + -1y = 0 + -2x + 2x + y + -1y -2 + 2i + -2ix + 3iy + 2x + -1y = -2x + 2x + y + -1y Combine like terms: -2x + 2x = 0 -2 + 2i + -2ix + 3iy + 2x + -1y = 0 + y + -1y -2 + 2i + -2ix + 3iy + 2x + -1y = y + -1y Combine like terms: y + -1y = 0 -2 + 2i + -2ix + 3iy + 2x + -1y = 0 The solution to this equation could not be determined.
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