1. **State the problem:** We are given the equation $14 \times 25 = (Y \times 5) + 50$ and asked to find the value of $Y - 15$. 2. **Calculate the left side:** Multiply 14 by 25. $$14 \times 25 = 350$$ 3. **Set up the equation:** Substitute the product into the equation. $$350 = 5Y + 50$$ 4. **Isolate $Y$:** Subtract 50 from both sides. $$350 - 50 = 5Y$$ $$300 = 5Y$$ 5. **Solve for $Y$:** Divide both sides by 5. $$Y = \frac{300}{5} = 60$$ 6. **Find $Y - 15$:** $$60 - 15 = 45$$ **Final answer:** $Y - 15 = 45$