y(n+1)=-(0.2)*y(n)

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Solution for y(n+1)=-(0.2)*y(n) equation:


Simplifying
y(n + 1) = -1(0.2) * y(n)

Reorder the terms:
y(1 + n) = -1(0.2) * y(n)
(1 * y + n * y) = -1(0.2) * y(n)

Reorder the terms:
(ny + 1y) = -1(0.2) * y(n)
(ny + 1y) = -1(0.2) * y(n)

Multiply -1 * 0.2
ny + 1y = -0.2y * n

Multiply y * n
ny + 1y = -0.2ny

Solving
ny + 1y = -0.2ny

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '0.2ny' to each side of the equation.
ny + 0.2ny + 1y = -0.2ny + 0.2ny

Combine like terms: ny + 0.2ny = 1.2ny
1.2ny + 1y = -0.2ny + 0.2ny

Combine like terms: -0.2ny + 0.2ny = 0.0
1.2ny + 1y = 0.0

Add '-1y' to each side of the equation.
1.2ny + 1y + -1y = 0.0 + -1y

Combine like terms: 1y + -1y = 0
1.2ny + 0 = 0.0 + -1y
1.2ny = 0.0 + -1y
Remove the zero:
1.2ny = -1y

Divide each side by '1.2y'.
n = -0.8333333333

Simplifying
n = -0.8333333333

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