System requirement labs says no, but id like a second opinion. Heres the specs:
Processor AMD A8-5545M APU with Radeon(tm) HD Graphics
Video Card AMD Radeon(TM) HD 8510G
Memory 7.4 GB
Operating System Microsoft Windows 10 (build 10240), 64-bit
My guess is no or at least not very well. Dying Light is a pretty resource heavy game. The AMD APU's have better graphics than a lot of CPU's integrated graphics but it's still not as good as a discrete graphics card. On top of that yours is a laptop APU and those are never as strong as their desktop counterparts.
I wouldn't waste the money on Dying Light even at $20 during the Steam sale. However, if you really want to try it out for yourself you can just buy it and return it if it doesn't run well. Just make sure you test in the first 14 days and you keep the program open for less than 2 hours. If you go over on either of those Steam will not accept your refund.
They do but only if you purchase directly from Steam. If you purchase from Steam you can get a refund during the first 14 days after purchase of you have the game running for less than 2 hours based on Steam's timer clock. If you buy a Steam key from another retailer you would be out of luck.