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Simplifying 2y[n] + 1.2y[n + -1] = x[n + -1] Multiply y * n 2ny + 1.2y[n + -1] = x[n + -1] Reorder the terms: 2ny + 1.2y[-1 + n] = x[n + -1] 2ny + [-1 * 1.2y + n * 1.2y] = x[n + -1] Reorder the terms: 2ny + [1.2ny + -1.2y] = x[n + -1] 2ny + [1.2ny + -1.2y] = x[n + -1] Combine like terms: 2ny + 1.2ny = 3.2ny 3.2ny + -1.2y = x[n + -1] Reorder the terms: 3.2ny + -1.2y = x[-1 + n] 3.2ny + -1.2y = [-1 * x + n * x] Reorder the terms: 3.2ny + -1.2y = [nx + -1x] 3.2ny + -1.2y = [nx + -1x] Solving 3.2ny + -1.2y = nx + -1x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nx' to each side of the equation. 3.2ny + -1nx + -1.2y = nx + -1nx + -1x Reorder the terms: -1nx + 3.2ny + -1.2y = nx + -1nx + -1x Combine like terms: nx + -1nx = 0 -1nx + 3.2ny + -1.2y = 0 + -1x -1nx + 3.2ny + -1.2y = -1x Add '1.2y' to each side of the equation. -1nx + 3.2ny + -1.2y + 1.2y = -1x + 1.2y Combine like terms: -1.2y + 1.2y = 0.0 -1nx + 3.2ny + 0.0 = -1x + 1.2y -1nx + 3.2ny = -1x + 1.2y Reorder the terms: -1nx + 3.2ny + x + -1.2y = -1x + x + 1.2y + -1.2y Combine like terms: -1x + x = 0 -1nx + 3.2ny + x + -1.2y = 0 + 1.2y + -1.2y -1nx + 3.2ny + x + -1.2y = 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 -1nx + 3.2ny + x + -1.2y = 0.0 The solution to this equation could not be determined.
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