Back in July 2017, Adobe announced that it will be ending support for Flash at the end of 2020. Browser vendors started announcing their plans to phase out the product later that day, and that included Microsoft.
Microsoft posted an update today on when Flash will finally stop working in its browsers. The answer is, you guessed it, the end of 2020. In Edge Spartan (the current version of Edge) and Internet Explorer 11, everything will work as it does now throughout the rest of 2019. It will be completely gone by December 2020. The timeline really isn't any different from the original announcement.
As far as the new Chromium-based Edge goes, Microsoft says that it will follow the same timeline as the Chromium Project for phasing out the legacy Adobe product. Like the timeline for Edge Spartan and Internet Explorer, Flash will be removed completely by December 2020. It will be disabled by default, and you'll be able to turn it on on a site-by-site basis, or you can set a group policy.
Adobe's Flash has had plenty of problems over the years, most notably security issues. The modern web has replaced it with newer standards like HTML5, and there's no reason for it to exist anymore except for legacy applications. Now, it's time for the web to move on.