Does my answer look correct?

Question

Find the derivative.
11, y= (e^3-e)(e+5)/6e

my work:
((6e)(4e^3 + 15e^2 - 2e - 5) - (6)(e^4 + 5e^3 - e^2 - 5e))/ (6e)^2
Multiplied/divided everything through
My answer:
(10e^2 + 30e - 3)/ 18

I cant follow your work:
I assume e is a derivative.
(e^3-e)(e+5)/6e
1/6e * (e^4 + 5e^3 -e^2 - 5e)
1/6 * (e^3 + 5e^2 -e-5 )
derivative:
dy/de = 1/6 (3e^2+10e -1)

check my work.