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