Gmail update for Android will help organize all your email accounts, even if they're not Google's

This new feature will alllow Gmail users to simply read all of their emails in one place, without having to switch to their other accounts like those on Outlook or Yahoo Mail. Also, emails from accounts other than Gmail can be read in a conversations view. Google says

Now messages from your Yahoo, Outlook.com and other IMAP/POP accounts will get the same special treatment, appearing neatly stacked as one conversation.

Source: Google