promoveréis
-you will promote
The word promoveréis is the future form of promover in the second person plural.
See the full promover conjugation

promover

Haciéndolo así promoveréis la armonía y el bienestar de las mismas naciones de las cuales formáis parte.
By so doing you will promote the harmony and well-being of the nations themselves of which you are a part.
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