This document provides an overview of common tasks and issues for administrators of hybrid Exchange deployments between on-premises and Office 365. It discusses identity management with DirSync, monitoring key components, patching regularly, moving mailboxes between on-premises and online, and ensuring high availability of services like Exchange and AD FS. Troubleshooting tips are provided for common problems with Exchange federation, mailbox moves, DirSync, and AD FS. The presentation aims to help administrators understand best practices for managing hybrid deployments.