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