1. **State the problem:** Simplify the expression $$0.5(-6y + 10) + 0.7y$$. 2. **Apply the distributive property:** Multiply 0.5 by each term inside the parentheses: $$0.5 \times (-6y) + 0.5 \times 10 + 0.7y = -3y + 5 + 0.7y$$ 3. **Combine like terms:** Combine the terms with $y$: $$-3y + 0.7y = (-3 + 0.7)y = -2.3y$$ 4. **Write the simplified expression:** $$-2.3y + 5$$ **Final answer:** $$-2.3y + 5$$