Amy Ciavolino and her friends created a solution to their noisy apartment buzzer issue by building a Twilio-powered buzzer bot using Raspberry Pi, Node.js, and an optocoupler. The project involves setting up a test light to ensure the software is working correctly, routing the Raspberry Pi to the internet via a router, and configuring a Dynamic DNS service to update the IP address periodically. Once set up, the system sends a text message with a specific password to trigger the buzzer, allowing Amy's friends to enter her apartment without interrupting the party. The final step involves connecting the optocoupler to the buzzer box and running the init.d script to make the buzzzer bot server run automatically on startup.