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Simplifying 5x + 1 + (3 + 2y) * i = 2x + -2 + (y + -6) Reorder the terms for easier multiplication: 5x + 1 + i(3 + 2y) = 2x + -2 + (y + -6) 5x + 1 + (3 * i + 2y * i) = 2x + -2 + (y + -6) 5x + 1 + (3i + 2iy) = 2x + -2 + (y + -6) Reorder the terms: 1 + 3i + 2iy + 5x = 2x + -2 + (y + -6) Reorder the terms: 1 + 3i + 2iy + 5x = 2x + -2 + (-6 + y) Remove parenthesis around (-6 + y) 1 + 3i + 2iy + 5x = 2x + -2 + -6 + y Reorder the terms: 1 + 3i + 2iy + 5x = -2 + -6 + 2x + y Combine like terms: -2 + -6 = -8 1 + 3i + 2iy + 5x = -8 + 2x + y Solving 1 + 3i + 2iy + 5x = -8 + 2x + y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3i + 2iy + -1 + 5x = -8 + 2x + -1 + y Reorder the terms: 1 + -1 + 3i + 2iy + 5x = -8 + 2x + -1 + y Combine like terms: 1 + -1 = 0 0 + 3i + 2iy + 5x = -8 + 2x + -1 + y 3i + 2iy + 5x = -8 + 2x + -1 + y Reorder the terms: 3i + 2iy + 5x = -8 + -1 + 2x + y Combine like terms: -8 + -1 = -9 3i + 2iy + 5x = -9 + 2x + y Add '-5x' to each side of the equation. 3i + 2iy + 5x + -5x = -9 + 2x + -5x + y Combine like terms: 5x + -5x = 0 3i + 2iy + 0 = -9 + 2x + -5x + y 3i + 2iy = -9 + 2x + -5x + y Combine like terms: 2x + -5x = -3x 3i + 2iy = -9 + -3x + y Reorder the terms: 9 + 3i + 2iy + 3x + -1y = -9 + -3x + y + 9 + 3x + -1y Reorder the terms: 9 + 3i + 2iy + 3x + -1y = -9 + 9 + -3x + 3x + y + -1y Combine like terms: -9 + 9 = 0 9 + 3i + 2iy + 3x + -1y = 0 + -3x + 3x + y + -1y 9 + 3i + 2iy + 3x + -1y = -3x + 3x + y + -1y Combine like terms: -3x + 3x = 0 9 + 3i + 2iy + 3x + -1y = 0 + y + -1y 9 + 3i + 2iy + 3x + -1y = y + -1y Combine like terms: y + -1y = 0 9 + 3i + 2iy + 3x + -1y = 0 The solution to this equation could not be determined.
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