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