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Simplifying (2x + -3) + -2yi = 3 + -1(y + 1) * i Reorder the terms: (-3 + 2x) + -2yi = 3 + -1(y + 1) * i Remove parenthesis around (-3 + 2x) -3 + 2x + -2yi = 3 + -1(y + 1) * i Reorder the terms: -3 + -2iy + 2x = 3 + -1(y + 1) * i Reorder the terms: -3 + -2iy + 2x = 3 + -1(1 + y) * i Reorder the terms for easier multiplication: -3 + -2iy + 2x = 3 + -1i(1 + y) -3 + -2iy + 2x = 3 + (1 * -1i + y * -1i) -3 + -2iy + 2x = 3 + (-1i + -1iy) Solving -3 + -2iy + 2x = 3 + -1i + -1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. -3 + -2iy + i + 2x = 3 + -1i + i + -1iy Reorder the terms: -3 + i + -2iy + 2x = 3 + -1i + i + -1iy Combine like terms: -1i + i = 0 -3 + i + -2iy + 2x = 3 + 0 + -1iy -3 + i + -2iy + 2x = 3 + -1iy Add 'iy' to each side of the equation. -3 + i + -2iy + iy + 2x = 3 + -1iy + iy Combine like terms: -2iy + iy = -1iy -3 + i + -1iy + 2x = 3 + -1iy + iy Combine like terms: -1iy + iy = 0 -3 + i + -1iy + 2x = 3 + 0 -3 + i + -1iy + 2x = 3 Add '3' to each side of the equation. -3 + i + -1iy + 3 + 2x = 3 + 3 Reorder the terms: -3 + 3 + i + -1iy + 2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + i + -1iy + 2x = 3 + 3 i + -1iy + 2x = 3 + 3 Combine like terms: 3 + 3 = 6 i + -1iy + 2x = 6 Add '-2x' to each side of the equation. i + -1iy + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 i + -1iy + 0 = 6 + -2x i + -1iy = 6 + -2x Reorder the terms: -6 + i + -1iy + 2x = 6 + -2x + -6 + 2x Reorder the terms: -6 + i + -1iy + 2x = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -6 + i + -1iy + 2x = 0 + -2x + 2x -6 + i + -1iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -6 + i + -1iy + 2x = 0 The solution to this equation could not be determined.
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