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Simplifying x + y + yi + 2i = 8i + 7 Reorder the terms: 2i + iy + x + y = 8i + 7 Reorder the terms: 2i + iy + x + y = 7 + 8i Solving 2i + iy + x + y = 7 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 2i + iy + x + -8i + y = 7 + 8i + -8i Reorder the terms: 2i + -8i + iy + x + y = 7 + 8i + -8i Combine like terms: 2i + -8i = -6i -6i + iy + x + y = 7 + 8i + -8i Combine like terms: 8i + -8i = 0 -6i + iy + x + y = 7 + 0 -6i + iy + x + y = 7 Add '-1x' to each side of the equation. -6i + iy + x + -1x + y = 7 + -1x Combine like terms: x + -1x = 0 -6i + iy + 0 + y = 7 + -1x -6i + iy + y = 7 + -1x Add '-1y' to each side of the equation. -6i + iy + y + -1y = 7 + -1x + -1y Combine like terms: y + -1y = 0 -6i + iy + 0 = 7 + -1x + -1y -6i + iy = 7 + -1x + -1y Reorder the terms: -7 + -6i + iy + x + y = 7 + -1x + -1y + -7 + x + y Reorder the terms: -7 + -6i + iy + x + y = 7 + -7 + -1x + x + -1y + y Combine like terms: 7 + -7 = 0 -7 + -6i + iy + x + y = 0 + -1x + x + -1y + y -7 + -6i + iy + x + y = -1x + x + -1y + y Combine like terms: -1x + x = 0 -7 + -6i + iy + x + y = 0 + -1y + y -7 + -6i + iy + x + y = -1y + y Combine like terms: -1y + y = 0 -7 + -6i + iy + x + y = 0 The solution to this equation could not be determined.
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