And make 'em straighten up their hat cause she know they soft

from Kanye West (Ft. Chris Martin) – Homecoming Lyrics on Rap Genius

Meaning

In Chicago, wearing your hat to one side or another shows your gang-affiliation

When out-of-towners come to Chicago they are forced to straighten their hats like a softy and show respect — just as you would to a demanding young lady

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