To simplify the expression \( 2(10b+4)−(b−2) \), follow these steps:
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Distribute the 2 in the first term: \[ 2(10b) + 2(4) = 20b + 8 \]
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Distribute the negative sign in the second term: \[ -(b - 2) = -b + 2 \]
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Combine the simplified terms: \[ 20b + 8 - b + 2 \]
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Combine like terms: \[ (20b - b) + (8 + 2) = 19b + 10 \]
Thus, the result of the subtraction is: \[ \boxed{19b + 10} \]