2y(n-1)-8y(n-2)=6

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Solution for 2y(n-1)-8y(n-2)=6 equation:


Simplifying
2y(n + -1) + -8y(n + -2) = 6

Reorder the terms:
2y(-1 + n) + -8y(n + -2) = 6
(-1 * 2y + n * 2y) + -8y(n + -2) = 6

Reorder the terms:
(2ny + -2y) + -8y(n + -2) = 6
(2ny + -2y) + -8y(n + -2) = 6

Reorder the terms:
2ny + -2y + -8y(-2 + n) = 6
2ny + -2y + (-2 * -8y + n * -8y) = 6

Reorder the terms:
2ny + -2y + (-8ny + 16y) = 6
2ny + -2y + (-8ny + 16y) = 6

Reorder the terms:
2ny + -8ny + -2y + 16y = 6

Combine like terms: 2ny + -8ny = -6ny
-6ny + -2y + 16y = 6

Combine like terms: -2y + 16y = 14y
-6ny + 14y = 6

Solving
-6ny + 14y = 6

Solving for variable 'n'.

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

Add '-14y' to each side of the equation.
-6ny + 14y + -14y = 6 + -14y

Combine like terms: 14y + -14y = 0
-6ny + 0 = 6 + -14y
-6ny = 6 + -14y

Divide each side by '-6y'.
n = -1y-1 + 2.333333333

Simplifying
n = -1y-1 + 2.333333333

Reorder the terms:
n = 2.333333333 + -1y-1

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