From the POV of someone using After Effects every day for work, I'll just echo what everyone else has said. No hope on that system.
I just ordered a few of the new Alienware M15s for my office, though, and so far they seem pretty good other than the screens being pretty tiny at 15.6".
Certainly no match for a desktop, but that's obviously not always an option. There are options with lower amounts of RAM, but realistically 16GB is pretty much the minimum spec for AE.
8th Generation Intel® Core™ i7-8750H
Windows 10 Home 64bit
16GB, 2x8GB, DDR4, 2666MHz
NVIDIA® GeForce® GTX 1070 Max-Q design with 8GB GDDR5
I got them to replace our current fleet of Macbook Pros which are fucking useless. The previous generation were pretty good, but these new ones are just shocking. Somehow they're slower than their previous iteration - literally can't even play a 1920x1080 ProRes 422 without dropping frames. That's a native Apple format. Unreal.