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Simplifying (x + -1y) + 5i = 8 + yi Remove parenthesis around (x + -1y) x + -1y + 5i = 8 + yi Reorder the terms: 5i + x + -1y = 8 + yi Solving 5i + x + -1y = 8 + 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. 5i + x + -1iy + -1y = 8 + iy + -1iy Reorder the terms: 5i + -1iy + x + -1y = 8 + iy + -1iy Combine like terms: iy + -1iy = 0 5i + -1iy + x + -1y = 8 + 0 5i + -1iy + x + -1y = 8 Add '-1x' to each side of the equation. 5i + -1iy + x + -1x + -1y = 8 + -1x Combine like terms: x + -1x = 0 5i + -1iy + 0 + -1y = 8 + -1x 5i + -1iy + -1y = 8 + -1x Add 'y' to each side of the equation. 5i + -1iy + -1y + y = 8 + -1x + y Combine like terms: -1y + y = 0 5i + -1iy + 0 = 8 + -1x + y 5i + -1iy = 8 + -1x + y Reorder the terms: -8 + 5i + -1iy + x + -1y = 8 + -1x + y + -8 + x + -1y Reorder the terms: -8 + 5i + -1iy + x + -1y = 8 + -8 + -1x + x + y + -1y Combine like terms: 8 + -8 = 0 -8 + 5i + -1iy + x + -1y = 0 + -1x + x + y + -1y -8 + 5i + -1iy + x + -1y = -1x + x + y + -1y Combine like terms: -1x + x = 0 -8 + 5i + -1iy + x + -1y = 0 + y + -1y -8 + 5i + -1iy + x + -1y = y + -1y Combine like terms: y + -1y = 0 -8 + 5i + -1iy + x + -1y = 0 The solution to this equation could not be determined.
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