File this one under the “So obvious I didn’t realize it” category: the Spanish beber (“to drink”) is a cousin of the English, beverage.
Both come from the same fountain: the Latin bibere, meaning the same. Thus the b‑b-r in the Spanish beber maps to the m‑v-r in the English beverage.
The only change is a b‑to‑v transition, which is one of the more common and often interchangeable transitions.