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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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