To subtract \((8b - 4)\) from \((4b - 7)\), start by distributing the negative sign across the second parentheses:
\[ (4b - 7) - (8b - 4) = (4b - 7) - 8b + 4 \]
Now, combine like terms:
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Combine the \(b\) terms: \[ 4b - 8b = -4b \]
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Combine the constant terms: \[ -7 + 4 = -3 \]
Putting it all together, we have:
\[ -4b - 3 \]
Therefore, the result of the subtraction is:
\[ \boxed{-4b - 3} \]