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Simplifying y = [x + -1(1 + -1sqrt(7) * i)][x + -1(1 + sqrt(7) * i)] Reorder the terms for easier multiplication: y = [x + -1(1 + -1 * 7qrst * i)][x + -1(1 + sqrt(7) * i)] Multiply -1 * 7 y = [x + -1(1 + -7qrst * i)][x + -1(1 + sqrt(7) * i)] Multiply qrst * i y = [x + -1(1 + -7iqrst)][x + -1(1 + sqrt(7) * i)] y = [x + (1 * -1 + -7iqrst * -1)][x + -1(1 + sqrt(7) * i)] y = [x + (-1 + 7iqrst)][x + -1(1 + sqrt(7) * i)] Reorder the terms: y = [-1 + 7iqrst + x][x + -1(1 + sqrt(7) * i)] Reorder the terms for easier multiplication: y = [-1 + 7iqrst + x][x + -1(1 + 7qrst * i)] Multiply qrst * i y = [-1 + 7iqrst + x][x + -1(1 + 7iqrst)] y = [-1 + 7iqrst + x][x + (1 * -1 + 7iqrst * -1)] y = [-1 + 7iqrst + x][x + (-1 + -7iqrst)] Reorder the terms: y = [-1 + 7iqrst + x][-1 + -7iqrst + x] Multiply [-1 + 7iqrst + x] * [-1 + -7iqrst + x] y = [-1[-1 + -7iqrst + x] + 7iqrst * [-1 + -7iqrst + x] + x[-1 + -7iqrst + x]] y = [[-1 * -1 + -7iqrst * -1 + x * -1] + 7iqrst * [-1 + -7iqrst + x] + x[-1 + -7iqrst + x]] y = [[1 + 7iqrst + -1x] + 7iqrst * [-1 + -7iqrst + x] + x[-1 + -7iqrst + x]] y = [1 + 7iqrst + -1x + [-1 * 7iqrst + -7iqrst * 7iqrst + x * 7iqrst] + x[-1 + -7iqrst + x]] Reorder the terms: y = [1 + 7iqrst + -1x + [-7iqrst + 7iqrstx + -49i2q2r2s2t2] + x[-1 + -7iqrst + x]] y = [1 + 7iqrst + -1x + [-7iqrst + 7iqrstx + -49i2q2r2s2t2] + x[-1 + -7iqrst + x]] y = [1 + 7iqrst + -1x + -7iqrst + 7iqrstx + -49i2q2r2s2t2 + [-1 * x + -7iqrst * x + x * x]] Reorder the terms: y = [1 + 7iqrst + -1x + -7iqrst + 7iqrstx + -49i2q2r2s2t2 + [-7iqrstx + -1x + x2]] y = [1 + 7iqrst + -1x + -7iqrst + 7iqrstx + -49i2q2r2s2t2 + [-7iqrstx + -1x + x2]] Reorder the terms: y = [1 + 7iqrst + -7iqrst + 7iqrstx + -7iqrstx + -49i2q2r2s2t2 + -1x + -1x + x2] Combine like terms: 7iqrst + -7iqrst = 0 y = [1 + 0 + 7iqrstx + -7iqrstx + -49i2q2r2s2t2 + -1x + -1x + x2] y = [1 + 7iqrstx + -7iqrstx + -49i2q2r2s2t2 + -1x + -1x + x2] Combine like terms: 7iqrstx + -7iqrstx = 0 y = [1 + 0 + -49i2q2r2s2t2 + -1x + -1x + x2] y = [1 + -49i2q2r2s2t2 + -1x + -1x + x2] Combine like terms: -1x + -1x = -2x y = [1 + -49i2q2r2s2t2 + -2x + x2] Solving y = 1 + -49i2q2r2s2t2 + -2x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 1 + -49i2q2r2s2t2 + -2x + x2
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