2y(n+2)-3y(n+1)-2y(n)=6n+1

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Solution for 2y(n+2)-3y(n+1)-2y(n)=6n+1 equation: 


Simplifying
2y(n + 2) + -3y(n + 1) + -2y(n) = 6n + 1

Reorder the terms:
2y(2 + n) + -3y(n + 1) + -2y(n) = 6n + 1
(2 * 2y + n * 2y) + -3y(n + 1) + -2y(n) = 6n + 1

Reorder the terms:
(2ny + 4y) + -3y(n + 1) + -2y(n) = 6n + 1
(2ny + 4y) + -3y(n + 1) + -2y(n) = 6n + 1

Reorder the terms:
2ny + 4y + -3y(1 + n) + -2y(n) = 6n + 1
2ny + 4y + (1 * -3y + n * -3y) + -2y(n) = 6n + 1

Reorder the terms:
2ny + 4y + (-3ny + -3y) + -2y(n) = 6n + 1
2ny + 4y + (-3ny + -3y) + -2y(n) = 6n + 1

Multiply y * n
2ny + 4y + -3ny + -3y + -2ny = 6n + 1

Reorder the terms:
2ny + -3ny + -2ny + 4y + -3y = 6n + 1

Combine like terms: 2ny + -3ny = -1ny
-1ny + -2ny + 4y + -3y = 6n + 1

Combine like terms: -1ny + -2ny = -3ny
-3ny + 4y + -3y = 6n + 1

Combine like terms: 4y + -3y = 1y
-3ny + 1y = 6n + 1

Reorder the terms:
-3ny + 1y = 1 + 6n

Solving
-3ny + 1y = 1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-3ny + -6n + 1y = 1 + 6n + -6n

Reorder the terms:
-6n + -3ny + 1y = 1 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6n + -3ny + 1y = 1 + 0
-6n + -3ny + 1y = 1

Add '-1y' to each side of the equation.
-6n + -3ny + 1y + -1y = 1 + -1y

Combine like terms: 1y + -1y = 0
-6n + -3ny + 0 = 1 + -1y
-6n + -3ny = 1 + -1y

Reorder the terms:
-1 + -6n + -3ny + y = 1 + -1y + -1 + y

Reorder the terms:
-1 + -6n + -3ny + y = 1 + -1 + -1y + y

Combine like terms: 1 + -1 = 0
-1 + -6n + -3ny + y = 0 + -1y + y
-1 + -6n + -3ny + y = -1y + y

Combine like terms: -1y + y = 0
-1 + -6n + -3ny + y = 0

The solution to this equation could not be determined.

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