In an enthusiastic, lively, or exuberant manner; with bubbling energy.
From 'ebullient' + '-ly,' where 'ebullient' comes from Latin 'ebulliens' (boiling over). The adverb form allows the metaphor of boiling enthusiasm to modify actions and speech.
When someone speaks 'ebulliently,' they're literally 'bubbling over' with energy—the Latin metaphor of boiling liquid perfectly describes uncontainable enthusiasm.
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