In an embracing manner; warmly, inclusively, or in a way that shows acceptance and affection.
From embrace + -ing (present participle suffix) + -ly (adverb-forming suffix). The combination creates an adverb describing how something is done in an embracing way.
Notice how 'embracingly' uses the -ing form (embrace-ing) rather than just the base word (embrace-ly)—this is because -ingly sounds better to English ears than -ely would. Language evolves to favor smooth-sounding combinations!
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