1. **State the problem:** We need to find the value of the expression $$56 \div y^3 - 2 \cdot 3$$ when $$y = 2$$. 2. **Write the expression clearly:** $$56 \div y^3 - 2 \cdot 3$$. 3. **Substitute the value of $$y$$:** Since $$y = 2$$, we have $$y^3 = 2^3 = 8$$. 4. **Rewrite the expression with substitution:** $$56 \div 8 - 2 \cdot 3$$. 5. **Perform the division:** $$56 \div 8 = 7$$. 6. **Perform the multiplication:** $$2 \cdot 3 = 6$$. 7. **Calculate the final value:** $$7 - 6 = 1$$. **Final answer:** $$1$$