Question: User: -2w(4+8y)+6y-12y+7w+(7y-3)
1. **State the problem:** Simplify the expression $$-2w(4+8y)+6y-12y+7w+(7y-3)$$.
2. **Apply the distributive property:** Multiply $$-2w$$ by each term inside the parentheses:
$$-2w \times 4 = -8w$$
$$-2w \times 8y = -16wy$$
So the expression becomes:
$$-8w - 16wy + 6y - 12y + 7w + (7y - 3)$$
3. **Remove parentheses:**
$$-8w - 16wy + 6y - 12y + 7w + 7y - 3$$
4. **Combine like terms:**
- Combine $$w$$ terms: $$-8w + 7w = \cancel{-8w} + \cancel{7w} = -1w = -w$$
- Combine $$y$$ terms: $$6y - 12y + 7y = \cancel{6y} - \cancel{12y} + \cancel{7y} = 1y = y$$
- The $$-16wy$$ term has no like terms, so it stays as is.
- The constant term is $$-3$$.
5. **Write the simplified expression:**
$$-w - 16wy + y - 3$$
**Final answer:** $$-w - 16wy + y - 3$$