"excessive indulgence in sensual pleasures of any kind," 1640s, from debauch + -ery. With a variety of spellings in 17c., such as debaush-, deboich-, debosh-. Debauchment in the same sense is from 1620s.
1590s, "to entice, seduce, lead astray" (from allegiance, family, etc.), from French débaucher "entice from work or duty," from Old French desbaucher "to lead astray," a word of uncertain origin.
Supposedly it is literally "to trim (wood) to make a beam" (from bauch "beam," from Frankish balk or some other Germanic source akin to English balk (n.)). The notion of "shaving" something away, perhaps, but the root is also said to be a word meaning "workshop," which gets toward the notion of "to lure someone off the job;" either way the sense evolution is unclear.
The more specific meaning "seduce from virtue or morality, corrupt the morals or principles of" is from c. 1600, especially "to corrupt with lewdness, seduce sexually," usually in reference to women. Intransitive sense "indulge in excess in sensual enjoyment" is from 1640s. As a noun, "a bout of excessive sensual pleasure," c. 1600.
word-forming element making nouns meaning "place for, art of, condition of, quantity of," from Middle English -erie, from Latin -arius (see -ary). Also sometimes in modern colloquial use "the collectivity of" or "an example of."
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Harper, D. (n.d.). Etymology of debauchery. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/debauchery