solving differential equations using laplace! simple problem

Hello i am trying to solve a differential equation using Laplace transforms...but i am stuck in a very simple step...

I am stuck in one point of the problem, where i am supposed to make a fraction simplifying...

i know this is very basic mathematical knowledge, BUT I CANNOT SEE ANY SIMPLIFYING!!!

Please help me on this!!! can you see any simplification on these fractions??? :

L[y] (2 s^2 + 2s - 4 ) = 10/s^2 - 15/s + 10s/2

PLEASE HELP IM SO DESPERATE!!!

(L[y] is the laplace transform of y of course)