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