Depravity
Degradation, Decadence
noun, verbal noun
A degradation fall is a fall into depravity. Meaning you'll probably lead a life of degradation. Stealing, stabbing, money laundering, various excesses… That kind of depravity.
堕落 refers to a state of falling into a bad or immoral condition, whether it's about a person's character or a society and its values.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
兄は酒と女に溺れ、完全に堕落した生活を送っています。
My brother nearly drowns in women and alcohol, and is buried in his totally corrupted life.