Let's solve the equation $-2(2x + y) = 28$.

Step 1: Distribute the $-2$ to both terms inside the parentheses:

$-2(2x + y) = -2 \cdot 2x - 2 \cdot y = -4x - 2y$ So, the equation becomes: $-4x - 2y = 28$

Step 2: Divide the entire equation by $-2$ to simplify:

$\frac{-4x - 2y}{-2} = \frac{28}{-2}$ This simplifies to: $2x + y = -14$

Final Answer:

The simplified equation is: $2x + y = -14$

Would you like further explanation, or would you like to solve for a specific variable?

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Here are 5 related questions:

1. How would you solve for $x$ in terms of $y$?
2. How can we graph the equation $2x + y = -14$?
3. What happens if we substitute specific values for $x$ and $y$?
4. How does this equation relate to a system of equations?
5. What is the slope of the line represented by $2x + y = -14$?

Tip: Always check for common factors in an equation to simplify before solving.