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Simplifying (8x + -1y) + 3i = 7 + yi Remove parenthesis around (8x + -1y) 8x + -1y + 3i = 7 + yi Reorder the terms: 3i + 8x + -1y = 7 + yi Solving 3i + 8x + -1y = 7 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 3i + 8x + -1iy + -1y = 7 + iy + -1iy Reorder the terms: 3i + -1iy + 8x + -1y = 7 + iy + -1iy Combine like terms: iy + -1iy = 0 3i + -1iy + 8x + -1y = 7 + 0 3i + -1iy + 8x + -1y = 7 Add '-8x' to each side of the equation. 3i + -1iy + 8x + -8x + -1y = 7 + -8x Combine like terms: 8x + -8x = 0 3i + -1iy + 0 + -1y = 7 + -8x 3i + -1iy + -1y = 7 + -8x Add 'y' to each side of the equation. 3i + -1iy + -1y + y = 7 + -8x + y Combine like terms: -1y + y = 0 3i + -1iy + 0 = 7 + -8x + y 3i + -1iy = 7 + -8x + y Reorder the terms: -7 + 3i + -1iy + 8x + -1y = 7 + -8x + y + -7 + 8x + -1y Reorder the terms: -7 + 3i + -1iy + 8x + -1y = 7 + -7 + -8x + 8x + y + -1y Combine like terms: 7 + -7 = 0 -7 + 3i + -1iy + 8x + -1y = 0 + -8x + 8x + y + -1y -7 + 3i + -1iy + 8x + -1y = -8x + 8x + y + -1y Combine like terms: -8x + 8x = 0 -7 + 3i + -1iy + 8x + -1y = 0 + y + -1y -7 + 3i + -1iy + 8x + -1y = y + -1y Combine like terms: y + -1y = 0 -7 + 3i + -1iy + 8x + -1y = 0 The solution to this equation could not be determined.
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