pattern - What is an Inflated Word™?

_{This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.}

If a word conforms to a special rule, I call it an Inflated Word™.

Use the following examples below to find the rule.

And, if you want to analyze, here is a CSV version:

Inflated Words™,Not Inflated Words™
BAYOU,SWAMP
DIARY,JOURNAL
EASILY,SIMPLY
EATERY,DINER
FLAY,WHIP

FORAY,PILLAGE
MAY,APRIL
NEATH,UNDER
PRAY,IMPLORE
SOAPY,SUDSY
SOOTY,DIRTY
TUSK,HORN
WHEY,CURDS
SHOYU,SOY

Answer

The answer is:

If you remove all the vowels from the words (not including Y) they still make a word.

And the extra inflated:

Even if you remove the Y, it makes a word