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