Let's simplify the expression $-3(4x - y + 7)$.

1. Distribute the $-3$ to each term inside the parentheses:

$-3 \times 4x = -12x$ $-3 \times (-y) = 3y$ $-3 \times 7 = -21$

So, the simplified expression is:

$-12x + 3y - 21$

Would you like further details or have any questions?

Here are 5 related questions for practice:

1. Simplify: $5(2x + 3y - 4)$
2. Factor: $-12x + 3y - 21$
3. Solve: $4x - y + 7 = 0$ for $y$.
4. Expand: $2(x - 3) - 5(x + 1)$
5. Distribute and simplify: $-2(6x - y + 5)$

Tip: When distributing a negative number, remember that both the sign and the number multiply each term inside the parentheses!