This is made by the same person who created the "Learn code the Hard way". I get his weekly mailing list, and he mentioned it... I really want to try it, and maybe even on Linux...

From his Github:
Self-hosting solution to stream live to your website and publish to many like YouTube-Live, Twitter, Twitch, Vimeo, and other platforms or services. Our Docker-Image is easy to install and runs on Linux environments (MacOS/Windows by Docker Desktop). Moreover, combine the Restreamer with single-board computers like Raspberry Pi or GPU powered systems for Video-Encoding.

Features

• Simplified User-Interface
• Easy wizard configuration
• Multiple audio/video inputs, outputs, protocols, and codecs
• ReStreaming to platforms such as YouTube-Live, to software such as Wowza Media Server, and others based on protocols such as RTMP, SRT, ...
• Option to mux a separate audio channel to the video
• Build-in VideoJS-Player for your Website
• Configurable publication website for streaming without player embedding
• Content license with Creative Commons
• HTTP/S- (HLS), RTMP/S- & SRT-Streaming Server
• Automatic Let's Encrypt HTTPS certification
• Viewer/Bandwidth Monitoring and limiting
• Raspberry Pi (MMAL/OMX), Nvidia Cuda, Intel VAAPI support
• Support for Hardware- and Virtual-Devices
• FFmpeg Video-Processing (as native as possible)
• REST-API (JSON) and 100% Swagger documented
• Resource Monitoring (optionally by Prom-Metrics)
• Server- and Process-Logging
• GDPR compliant without third-party providers and does not save audience data

https://github.com/datarhei/restreamer

Edit:

The video player you can embed on your website is super intriguing to me and I'm now fiending to give this a try...