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Simplifying 1 + -1x + yi = 7 + (2 + -1y) * i Reorder the terms: 1 + iy + -1x = 7 + (2 + -1y) * i Reorder the terms for easier multiplication: 1 + iy + -1x = 7 + i(2 + -1y) 1 + iy + -1x = 7 + (2 * i + -1y * i) 1 + iy + -1x = 7 + (2i + -1iy) Solving 1 + iy + -1x = 7 + 2i + -1iy 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. 1 + iy + -2i + -1x = 7 + 2i + -2i + -1iy Reorder the terms: 1 + -2i + iy + -1x = 7 + 2i + -2i + -1iy Combine like terms: 2i + -2i = 0 1 + -2i + iy + -1x = 7 + 0 + -1iy 1 + -2i + iy + -1x = 7 + -1iy Add 'iy' to each side of the equation. 1 + -2i + iy + iy + -1x = 7 + -1iy + iy Combine like terms: iy + iy = 2iy 1 + -2i + 2iy + -1x = 7 + -1iy + iy Combine like terms: -1iy + iy = 0 1 + -2i + 2iy + -1x = 7 + 0 1 + -2i + 2iy + -1x = 7 Add '-1' to each side of the equation. 1 + -2i + 2iy + -1 + -1x = 7 + -1 Reorder the terms: 1 + -1 + -2i + 2iy + -1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2i + 2iy + -1x = 7 + -1 -2i + 2iy + -1x = 7 + -1 Combine like terms: 7 + -1 = 6 -2i + 2iy + -1x = 6 Add 'x' to each side of the equation. -2i + 2iy + -1x + x = 6 + x Combine like terms: -1x + x = 0 -2i + 2iy + 0 = 6 + x -2i + 2iy = 6 + x Reorder the terms: -6 + -2i + 2iy + -1x = 6 + x + -6 + -1x Reorder the terms: -6 + -2i + 2iy + -1x = 6 + -6 + x + -1x Combine like terms: 6 + -6 = 0 -6 + -2i + 2iy + -1x = 0 + x + -1x -6 + -2i + 2iy + -1x = x + -1x Combine like terms: x + -1x = 0 -6 + -2i + 2iy + -1x = 0 The solution to this equation could not be determined.
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