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Simplifying y(n + 2) + -2y(n + 1) + y(n) = 16 Reorder the terms: y(2 + n) + -2y(n + 1) + y(n) = 16 (2 * y + n * y) + -2y(n + 1) + y(n) = 16 Reorder the terms: (ny + 2y) + -2y(n + 1) + y(n) = 16 (ny + 2y) + -2y(n + 1) + y(n) = 16 Reorder the terms: ny + 2y + -2y(1 + n) + y(n) = 16 ny + 2y + (1 * -2y + n * -2y) + y(n) = 16 Reorder the terms: ny + 2y + (-2ny + -2y) + y(n) = 16 ny + 2y + (-2ny + -2y) + y(n) = 16 Multiply y * n ny + 2y + -2ny + -2y + ny = 16 Reorder the terms: ny + -2ny + ny + 2y + -2y = 16 Combine like terms: ny + -2ny = -1ny -1ny + ny + 2y + -2y = 16 Combine like terms: -1ny + ny = 0 0 + 2y + -2y = 16 2y + -2y = 16 Combine like terms: 2y + -2y = 0 0 = 16 Solving 0 = 16 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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