Darryl had 5 boxes of books, with \( b \) books in each box. Therefore, the total number of books before giving any away is:
\[ 5b \]
After giving away 1 book from each of the 5 boxes, he gives away a total of:
\[ 5 \times 1 = 5 \text{ books} \]
The total number of books left after giving away the books is:
\[ 5b - 5 \]
According to the problem, after giving away the books, he has 30 books left. Therefore, we can set up the equation:
\[ 5b - 5 = 30 \]
To solve for \( b \), first, we add 5 to both sides of the equation:
\[ 5b = 30 + 5 \] \[ 5b = 35 \]
Next, we divide both sides by 5:
\[ b = \frac{35}{5} \] \[ b = 7 \]
Thus, the value of \( b \) is:
\[ \boxed{7} \]
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