(D-6)y=8+12e^3x

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Solution for (D-6)y=8+12e^3x equation: 


Simplifying
(D + -6) * y = 8 + 12e3x

Reorder the terms:
(-6 + D) * y = 8 + 12e3x

Reorder the terms for easier multiplication:
y(-6 + D) = 8 + 12e3x
(-6 * y + D * y) = 8 + 12e3x
(-6y + yD) = 8 + 12e3x

Solving
-6y + yD = 8 + 12e3x

Solving for variable 'y'.

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

Reorder the terms:
-8 + -12e3x + -6y + yD = 8 + 12e3x + -8 + -12e3x

Reorder the terms:
-8 + -12e3x + -6y + yD = 8 + -8 + 12e3x + -12e3x

Combine like terms: 8 + -8 = 0
-8 + -12e3x + -6y + yD = 0 + 12e3x + -12e3x
-8 + -12e3x + -6y + yD = 12e3x + -12e3x

Combine like terms: 12e3x + -12e3x = 0
-8 + -12e3x + -6y + yD = 0

The solution to this equation could not be determined.

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