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Simplifying 3x + 4i + y = 2xi + -1yi + 1 Reorder the terms: 4i + 3x + y = 2xi + -1yi + 1 Reorder the terms: 4i + 3x + y = 1 + 2ix + -1iy Solving 4i + 3x + y = 1 + 2ix + -1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ix' to each side of the equation. 4i + 3x + -2ix + y = 1 + 2ix + -2ix + -1iy Reorder the terms: 4i + -2ix + 3x + y = 1 + 2ix + -2ix + -1iy Combine like terms: 2ix + -2ix = 0 4i + -2ix + 3x + y = 1 + 0 + -1iy 4i + -2ix + 3x + y = 1 + -1iy Add 'iy' to each side of the equation. 4i + -2ix + 3x + iy + y = 1 + -1iy + iy Reorder the terms: 4i + -2ix + iy + 3x + y = 1 + -1iy + iy Combine like terms: -1iy + iy = 0 4i + -2ix + iy + 3x + y = 1 + 0 4i + -2ix + iy + 3x + y = 1 Add '-3x' to each side of the equation. 4i + -2ix + iy + 3x + -3x + y = 1 + -3x Combine like terms: 3x + -3x = 0 4i + -2ix + iy + 0 + y = 1 + -3x 4i + -2ix + iy + y = 1 + -3x Add '-1y' to each side of the equation. 4i + -2ix + iy + y + -1y = 1 + -3x + -1y Combine like terms: y + -1y = 0 4i + -2ix + iy + 0 = 1 + -3x + -1y 4i + -2ix + iy = 1 + -3x + -1y Reorder the terms: -1 + 4i + -2ix + iy + 3x + y = 1 + -3x + -1y + -1 + 3x + y Reorder the terms: -1 + 4i + -2ix + iy + 3x + y = 1 + -1 + -3x + 3x + -1y + y Combine like terms: 1 + -1 = 0 -1 + 4i + -2ix + iy + 3x + y = 0 + -3x + 3x + -1y + y -1 + 4i + -2ix + iy + 3x + y = -3x + 3x + -1y + y Combine like terms: -3x + 3x = 0 -1 + 4i + -2ix + iy + 3x + y = 0 + -1y + y -1 + 4i + -2ix + iy + 3x + y = -1y + y Combine like terms: -1y + y = 0 -1 + 4i + -2ix + iy + 3x + y = 0 The solution to this equation could not be determined.
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