1. **State the problem:** Simplify the expression $(2b+3)-4(b-1)$. 2. **Apply the distributive property:** Multiply $-4$ by each term inside the parentheses: $$ (2b+3) - 4(b-1) = 2b + 3 - 4b + 4 $$ 3. **Combine like terms:** Group the terms with $b$ and the constant terms: $$ 2b - 4b + 3 + 4 $$ 4. **Simplify the expression:** $$ (2b - 4b) + (3 + 4) = -2b + 7 $$ 5. **Final answer:** The simplified expression is $$ \boxed{-2b + 7} $$