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Simplifying (2x + y) + -6i = 8 + yi Remove parenthesis around (2x + y) 2x + y + -6i = 8 + yi Reorder the terms: -6i + 2x + y = 8 + yi Solving -6i + 2x + y = 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. -6i + 2x + -1iy + y = 8 + iy + -1iy Reorder the terms: -6i + -1iy + 2x + y = 8 + iy + -1iy Combine like terms: iy + -1iy = 0 -6i + -1iy + 2x + y = 8 + 0 -6i + -1iy + 2x + y = 8 Add '-2x' to each side of the equation. -6i + -1iy + 2x + -2x + y = 8 + -2x Combine like terms: 2x + -2x = 0 -6i + -1iy + 0 + y = 8 + -2x -6i + -1iy + y = 8 + -2x Add '-1y' to each side of the equation. -6i + -1iy + y + -1y = 8 + -2x + -1y Combine like terms: y + -1y = 0 -6i + -1iy + 0 = 8 + -2x + -1y -6i + -1iy = 8 + -2x + -1y Reorder the terms: -8 + -6i + -1iy + 2x + y = 8 + -2x + -1y + -8 + 2x + y Reorder the terms: -8 + -6i + -1iy + 2x + y = 8 + -8 + -2x + 2x + -1y + y Combine like terms: 8 + -8 = 0 -8 + -6i + -1iy + 2x + y = 0 + -2x + 2x + -1y + y -8 + -6i + -1iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -8 + -6i + -1iy + 2x + y = 0 + -1y + y -8 + -6i + -1iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -8 + -6i + -1iy + 2x + y = 0 The solution to this equation could not be determined.
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