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Sarah and her friends are going blueberry picking. Sarah picks $b$ blueberries. Michael picks $3$ more than half as many as Sarah, and David picks $5$ more than Michael. In addition, Kaycee picks $10$ less than $3$ times as many as David, and Hannah picks twice as many as Kaycee. Find an expression in terms of $b$ for the number of blueberries that Hannah picked.

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