the word 'variably' is built upon the latin root vari-, which conveys the core idea of change and diversity. this root is combined with the suffix -able, of latin origin, to form the adjective 'variable', meaning 'capable of change'. the final old english adverbial suffix -ly is then appended to create the adverb, describing the manner of an action. thus, the etymological logic flows from the concept of change, to the capacity for change, and finally to the adverbial form describing an action performed in a changeable manner.

Structure: vari (change) + able (capable of) + ly (adverb suffix) vari (from latin variare, meaning 'to change, diversify'), able (from latin -abilis, a suffix forming adjectives meaning 'capable of, fit for'), ly (from old english -lice, an adverbial suffix).