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Simplifying y = [x + -1(2 + -6i)][x + -1(2 + 6i)] y = [x + (2 * -1 + -6i * -1)][x + -1(2 + 6i)] y = [x + (-2 + 6i)][x + -1(2 + 6i)] Reorder the terms: y = [-2 + 6i + x][x + -1(2 + 6i)] y = [-2 + 6i + x][x + (2 * -1 + 6i * -1)] y = [-2 + 6i + x][x + (-2 + -6i)] Reorder the terms: y = [-2 + 6i + x][-2 + -6i + x] Multiply [-2 + 6i + x] * [-2 + -6i + x] y = [-2[-2 + -6i + x] + 6i * [-2 + -6i + x] + x[-2 + -6i + x]] y = [[-2 * -2 + -6i * -2 + x * -2] + 6i * [-2 + -6i + x] + x[-2 + -6i + x]] y = [[4 + 12i + -2x] + 6i * [-2 + -6i + x] + x[-2 + -6i + x]] y = [4 + 12i + -2x + [-2 * 6i + -6i * 6i + x * 6i] + x[-2 + -6i + x]] Reorder the terms: y = [4 + 12i + -2x + [-12i + 6ix + -36i2] + x[-2 + -6i + x]] y = [4 + 12i + -2x + [-12i + 6ix + -36i2] + x[-2 + -6i + x]] y = [4 + 12i + -2x + -12i + 6ix + -36i2 + [-2 * x + -6i * x + x * x]] Reorder the terms: y = [4 + 12i + -2x + -12i + 6ix + -36i2 + [-6ix + -2x + x2]] y = [4 + 12i + -2x + -12i + 6ix + -36i2 + [-6ix + -2x + x2]] Reorder the terms: y = [4 + 12i + -12i + 6ix + -6ix + -36i2 + -2x + -2x + x2] Combine like terms: 12i + -12i = 0 y = [4 + 0 + 6ix + -6ix + -36i2 + -2x + -2x + x2] y = [4 + 6ix + -6ix + -36i2 + -2x + -2x + x2] Combine like terms: 6ix + -6ix = 0 y = [4 + 0 + -36i2 + -2x + -2x + x2] y = [4 + -36i2 + -2x + -2x + x2] Combine like terms: -2x + -2x = -4x y = [4 + -36i2 + -4x + x2] Solving y = 4 + -36i2 + -4x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 4 + -36i2 + -4x + x2
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