1. **State the problem:** Subtract the rational expressions $$\frac{2b - 12y}{7b} - \frac{6b + 5y}{7b}$$ and simplify the result. 2. **Formula and rules:** When subtracting rational expressions with the same denominator, subtract the numerators and keep the denominator the same: $$\frac{A}{C} - \frac{B}{C} = \frac{A - B}{C}$$ 3. **Apply the formula:** $$\frac{2b - 12y}{7b} - \frac{6b + 5y}{7b} = \frac{(2b - 12y) - (6b + 5y)}{7b}$$ 4. **Simplify the numerator:** $$= \frac{2b - 12y - 6b - 5y}{7b}$$ 5. **Combine like terms:** $$= \frac{(2b - 6b) + (-12y - 5y)}{7b} = \frac{-4b - 17y}{7b}$$ 6. **Final answer:** $$\boxed{\frac{-4b - 17y}{7b}}$$ This is the simplified form since numerator and denominator share no common factors to cancel.