得以
déyǐ · HSK 5
so that...can...
得 = obtain + 以 = by means of; obtain the means to do something
得以 literally combines 得 (obtain/get) with 以 (by means of, in order to). Together it conveys gaining the means or opportunity to do something — hence so that one can or is able to.
得 — 彳 (step) + 旦 (sun/day) + 寸 (hand)
Originally depicted a hand 寸 reaching for a cowrie shell 貝 (later simplified to 旦), with 彳 'step' added to show going out and obtaining something. The core meaning is 'to get' or 'obtain'. The reading děi extends this to 'must/have to' — what one is obliged to get done.
以 — phonetic 㠯 (plow/tool) + 人 (person)
Originally a pictograph of a hand-held plow or tool (㠯), later combined with 人 (person) to suggest 'using' something. The core meaning 'to use' extended metaphorically to 'by means of', 'with', and 'because of'. In modern Chinese it functions mainly as a grammatical particle.