Having the quality or sound of bleating; resembling the cry of a sheep or goat, or characterized by whining complaints.
From bleat + -y (adjective suffix), which transforms verbs and nouns into descriptive adjectives. The -y suffix is one of the oldest and most productive word-formation tools in English.
The adjective 'bleaty' is delightfully informal and often humorous—it's the kind of word you might use to mock someone's high-pitched, annoying voice in a way that formal language like 'complaining' just can't match.
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