What's is a good gaming laptop that can run The Sims 4 (500$ and under)?

For gaming you need as much performance as you can get.
This one has an i5-5200U and its built-in HD 5500 graphics.
http://www.newegg.ca/...6834319843

This is a table of gaming to graphics
http://www.notebookcheck.net/...849.0.html
You should not be lower than an Intel core i or AMD A8 or better.
The HD 5500 shows at least medium settings for Sims 4
http://www.notebookcheck.net/...586.0.html

CPU performance
https://www.cpubenchmark.net/...u_list.php
score 3545

26% stronger graphics than an R5 6410 included in a cheaper A8-6410 laptop
http://www.game-debate.com/...on-r5-6410

Sims 4
http://www.game-debate.com/...20Sims%204
CAN I RUN
Agrees medium-high settings on a 1080p display, and the x768 display of the Lenovo would be higher fps with lower resolution
http://www.game-debate.com/...quirements

You need the tables and links shown to be able to evaluate performance in gaming for laptops.
Maybe there will be a better sale soon, but looks like around $500 on the Lenovo B50 at newegg Canada unless you can find better by the tables, charts, evaluating web sites.