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Simplifying (2y + -3) * i + 6 + -4x = 8 + -6i Reorder the terms: (-3 + 2y) * i + 6 + -4x = 8 + -6i Reorder the terms for easier multiplication: i(-3 + 2y) + 6 + -4x = 8 + -6i (-3 * i + 2y * i) + 6 + -4x = 8 + -6i (-3i + 2iy) + 6 + -4x = 8 + -6i Reorder the terms: 6 + -3i + 2iy + -4x = 8 + -6i Solving 6 + -3i + 2iy + -4x = 8 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 6 + -3i + 2iy + 6i + -4x = 8 + -6i + 6i Reorder the terms: 6 + -3i + 6i + 2iy + -4x = 8 + -6i + 6i Combine like terms: -3i + 6i = 3i 6 + 3i + 2iy + -4x = 8 + -6i + 6i Combine like terms: -6i + 6i = 0 6 + 3i + 2iy + -4x = 8 + 0 6 + 3i + 2iy + -4x = 8 Add '-6' to each side of the equation. 6 + 3i + 2iy + -6 + -4x = 8 + -6 Reorder the terms: 6 + -6 + 3i + 2iy + -4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 3i + 2iy + -4x = 8 + -6 3i + 2iy + -4x = 8 + -6 Combine like terms: 8 + -6 = 2 3i + 2iy + -4x = 2 Add '4x' to each side of the equation. 3i + 2iy + -4x + 4x = 2 + 4x Combine like terms: -4x + 4x = 0 3i + 2iy + 0 = 2 + 4x 3i + 2iy = 2 + 4x Reorder the terms: -2 + 3i + 2iy + -4x = 2 + 4x + -2 + -4x Reorder the terms: -2 + 3i + 2iy + -4x = 2 + -2 + 4x + -4x Combine like terms: 2 + -2 = 0 -2 + 3i + 2iy + -4x = 0 + 4x + -4x -2 + 3i + 2iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3i + 2iy + -4x = 0 The solution to this equation could not be determined.
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