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Simplifying y + 3yi + -1xi = 5x + 2i + -1i Reorder the terms: -1ix + 3iy + y = 5x + 2i + -1i Reorder the terms: -1ix + 3iy + y = 2i + -1i + 5x Combine like terms: 2i + -1i = 1i -1ix + 3iy + y = 1i + 5x Solving -1ix + 3iy + y = 1i + 5x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -1ix + 3iy + -1i + y = 1i + -1i + 5x Reorder the terms: -1i + -1ix + 3iy + y = 1i + -1i + 5x Combine like terms: 1i + -1i = 0 -1i + -1ix + 3iy + y = 0 + 5x -1i + -1ix + 3iy + y = 5x Add '-1y' to each side of the equation. -1i + -1ix + 3iy + y + -1y = 5x + -1y Combine like terms: y + -1y = 0 -1i + -1ix + 3iy + 0 = 5x + -1y -1i + -1ix + 3iy = 5x + -1y Reorder the terms: -1i + -1ix + 3iy + -5x + y = 5x + -5x + -1y + y Combine like terms: 5x + -5x = 0 -1i + -1ix + 3iy + -5x + y = 0 + -1y + y -1i + -1ix + 3iy + -5x + y = -1y + y Combine like terms: -1y + y = 0 -1i + -1ix + 3iy + -5x + y = 0 The solution to this equation could not be determined.
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