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Simplifying x + -4i = 1 + yi Reorder the terms: -4i + x = 1 + yi Solving -4i + x = 1 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -4i + -1iy + x = 1 + iy + -1iy Combine like terms: iy + -1iy = 0 -4i + -1iy + x = 1 + 0 -4i + -1iy + x = 1 Add '-1x' to each side of the equation. -4i + -1iy + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 -4i + -1iy + 0 = 1 + -1x -4i + -1iy = 1 + -1x Reorder the terms: -1 + -4i + -1iy + x = 1 + -1x + -1 + x Reorder the terms: -1 + -4i + -1iy + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -4i + -1iy + x = 0 + -1x + x -1 + -4i + -1iy + x = -1x + x Combine like terms: -1x + x = 0 -1 + -4i + -1iy + x = 0 The solution to this equation could not be determined.
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