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Simplifying 4x + 2i = 8 + -1(2 + y) * i Reorder the terms: 2i + 4x = 8 + -1(2 + y) * i Reorder the terms for easier multiplication: 2i + 4x = 8 + -1i(2 + y) 2i + 4x = 8 + (2 * -1i + y * -1i) 2i + 4x = 8 + (-2i + -1iy) Solving 2i + 4x = 8 + -2i + -1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. 2i + 2i + 4x = 8 + -2i + 2i + -1iy Combine like terms: 2i + 2i = 4i 4i + 4x = 8 + -2i + 2i + -1iy Combine like terms: -2i + 2i = 0 4i + 4x = 8 + 0 + -1iy 4i + 4x = 8 + -1iy Add 'iy' to each side of the equation. 4i + iy + 4x = 8 + -1iy + iy Combine like terms: -1iy + iy = 0 4i + iy + 4x = 8 + 0 4i + iy + 4x = 8 Add '-4x' to each side of the equation. 4i + iy + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 4i + iy + 0 = 8 + -4x 4i + iy = 8 + -4x Reorder the terms: -8 + 4i + iy + 4x = 8 + -4x + -8 + 4x Reorder the terms: -8 + 4i + iy + 4x = 8 + -8 + -4x + 4x Combine like terms: 8 + -8 = 0 -8 + 4i + iy + 4x = 0 + -4x + 4x -8 + 4i + iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 4i + iy + 4x = 0 The solution to this equation could not be determined.
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