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