Inclined to bawl; tending to cry loudly; characterized by bawling.
From bawl + -y (adjective-forming suffix). This creates an adjective meaning 'having the quality of' or 'characterized by' the base word. The suffix -y is highly productive in English for creating informal adjectives from nouns and verbs.
Bawly is the kind of casual word English speakers invent and understand immediately—add -y to almost any verb and you can describe someone as being that way inclined! It's informal but perfectly clear.
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