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Simplifying (x + -1y) + (2x + y) * i = -3 + 9i Remove parenthesis around (x + -1y) x + -1y + (2x + y) * i = -3 + 9i Reorder the terms for easier multiplication: x + -1y + i(2x + y) = -3 + 9i x + -1y + (2x * i + y * i) = -3 + 9i x + -1y + (2ix + iy) = -3 + 9i Reorder the terms: 2ix + iy + x + -1y = -3 + 9i Solving 2ix + iy + x + -1y = -3 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. 2ix + iy + x + -9i + -1y = -3 + 9i + -9i Reorder the terms: -9i + 2ix + iy + x + -1y = -3 + 9i + -9i Combine like terms: 9i + -9i = 0 -9i + 2ix + iy + x + -1y = -3 + 0 -9i + 2ix + iy + x + -1y = -3 Add '-1x' to each side of the equation. -9i + 2ix + iy + x + -1x + -1y = -3 + -1x Combine like terms: x + -1x = 0 -9i + 2ix + iy + 0 + -1y = -3 + -1x -9i + 2ix + iy + -1y = -3 + -1x Add 'y' to each side of the equation. -9i + 2ix + iy + -1y + y = -3 + -1x + y Combine like terms: -1y + y = 0 -9i + 2ix + iy + 0 = -3 + -1x + y -9i + 2ix + iy = -3 + -1x + y Reorder the terms: 3 + -9i + 2ix + iy + x + -1y = -3 + -1x + y + 3 + x + -1y Reorder the terms: 3 + -9i + 2ix + iy + x + -1y = -3 + 3 + -1x + x + y + -1y Combine like terms: -3 + 3 = 0 3 + -9i + 2ix + iy + x + -1y = 0 + -1x + x + y + -1y 3 + -9i + 2ix + iy + x + -1y = -1x + x + y + -1y Combine like terms: -1x + x = 0 3 + -9i + 2ix + iy + x + -1y = 0 + y + -1y 3 + -9i + 2ix + iy + x + -1y = y + -1y Combine like terms: y + -1y = 0 3 + -9i + 2ix + iy + x + -1y = 0 The solution to this equation could not be determined.
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