1. **State the problem:** Simplify the expression $3x -(2y-4x) +6y$. 2. **Recall the distributive property:** When you have a minus sign before parentheses, distribute the minus to each term inside: $-(a - b) = -a + b$. 3. **Apply the distributive property:** $$3x - (2y - 4x) + 6y = 3x - 2y + 4x + 6y$$ 4. **Combine like terms:** - Combine $3x$ and $4x$: $3x + 4x = 7x$ - Combine $-2y$ and $6y$: $-2y + 6y = 4y$ 5. **Write the simplified expression:** $$7x + 4y$$ **Final answer:** $7x + 4y$