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Simplifying (4 + -3i) + -6 = x + -1(4 + yi) Remove parenthesis around (4 + -3i) 4 + -3i + -6 = x + -1(4 + yi) Reorder the terms: 4 + -6 + -3i = x + -1(4 + yi) Combine like terms: 4 + -6 = -2 -2 + -3i = x + -1(4 + yi) -2 + -3i = x + (4 * -1 + iy * -1) -2 + -3i = x + (-4 + -1iy) Reorder the terms: -2 + -3i = -4 + -1iy + x Solving -2 + -3i = -4 + -1iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iy' to each side of the equation. -2 + -3i + iy = -4 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -2 + -3i + iy = -4 + 0 + x -2 + -3i + iy = -4 + x Add '2' to each side of the equation. -2 + -3i + 2 + iy = -4 + 2 + x Reorder the terms: -2 + 2 + -3i + iy = -4 + 2 + x Combine like terms: -2 + 2 = 0 0 + -3i + iy = -4 + 2 + x -3i + iy = -4 + 2 + x Combine like terms: -4 + 2 = -2 -3i + iy = -2 + x Reorder the terms: 2 + -3i + iy + -1x = -2 + x + 2 + -1x Reorder the terms: 2 + -3i + iy + -1x = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 2 + -3i + iy + -1x = 0 + x + -1x 2 + -3i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 2 + -3i + iy + -1x = 0 The solution to this equation could not be determined.
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