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Simplifying (3x + -7) + 5iy = 2y + 3 + -4(1 + -1x) * i Reorder the terms: (-7 + 3x) + 5iy = 2y + 3 + -4(1 + -1x) * i Remove parenthesis around (-7 + 3x) -7 + 3x + 5iy = 2y + 3 + -4(1 + -1x) * i Reorder the terms: -7 + 5iy + 3x = 2y + 3 + -4(1 + -1x) * i Reorder the terms for easier multiplication: -7 + 5iy + 3x = 2y + 3 + -4i(1 + -1x) -7 + 5iy + 3x = 2y + 3 + (1 * -4i + -1x * -4i) -7 + 5iy + 3x = 2y + 3 + (-4i + 4ix) Reorder the terms: -7 + 5iy + 3x = 3 + -4i + 4ix + 2y Solving -7 + 5iy + 3x = 3 + -4i + 4ix + 2y 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. -7 + 5iy + 4i + 3x = 3 + -4i + 4ix + 4i + 2y Reorder the terms: -7 + 4i + 5iy + 3x = 3 + -4i + 4ix + 4i + 2y Reorder the terms: -7 + 4i + 5iy + 3x = 3 + -4i + 4i + 4ix + 2y Combine like terms: -4i + 4i = 0 -7 + 4i + 5iy + 3x = 3 + 0 + 4ix + 2y -7 + 4i + 5iy + 3x = 3 + 4ix + 2y Add '-4ix' to each side of the equation. -7 + 4i + 5iy + -4ix + 3x = 3 + 4ix + -4ix + 2y Reorder the terms: -7 + 4i + -4ix + 5iy + 3x = 3 + 4ix + -4ix + 2y Combine like terms: 4ix + -4ix = 0 -7 + 4i + -4ix + 5iy + 3x = 3 + 0 + 2y -7 + 4i + -4ix + 5iy + 3x = 3 + 2y Add '7' to each side of the equation. -7 + 4i + -4ix + 5iy + 7 + 3x = 3 + 7 + 2y Reorder the terms: -7 + 7 + 4i + -4ix + 5iy + 3x = 3 + 7 + 2y Combine like terms: -7 + 7 = 0 0 + 4i + -4ix + 5iy + 3x = 3 + 7 + 2y 4i + -4ix + 5iy + 3x = 3 + 7 + 2y Combine like terms: 3 + 7 = 10 4i + -4ix + 5iy + 3x = 10 + 2y Add '-3x' to each side of the equation. 4i + -4ix + 5iy + 3x + -3x = 10 + -3x + 2y Combine like terms: 3x + -3x = 0 4i + -4ix + 5iy + 0 = 10 + -3x + 2y 4i + -4ix + 5iy = 10 + -3x + 2y Reorder the terms: -10 + 4i + -4ix + 5iy + 3x + -2y = 10 + -3x + 2y + -10 + 3x + -2y Reorder the terms: -10 + 4i + -4ix + 5iy + 3x + -2y = 10 + -10 + -3x + 3x + 2y + -2y Combine like terms: 10 + -10 = 0 -10 + 4i + -4ix + 5iy + 3x + -2y = 0 + -3x + 3x + 2y + -2y -10 + 4i + -4ix + 5iy + 3x + -2y = -3x + 3x + 2y + -2y Combine like terms: -3x + 3x = 0 -10 + 4i + -4ix + 5iy + 3x + -2y = 0 + 2y + -2y -10 + 4i + -4ix + 5iy + 3x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 4i + -4ix + 5iy + 3x + -2y = 0 The solution to this equation could not be determined.
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