To solve the equation $4x + 2y = 28$ for $y$ and show that it is equivalent to $y = 14 - 2x$, let's proceed with isolating $y$ step-by-step:

1. Start with the original equation: $4x + 2y = 28$

2. Subtract $4x$ from both sides to move the $x$-term to the right: $2y = 28 - 4x$

3. Divide every term by 2 to isolate $y$: $y = \frac{28}{2} - \frac{4x}{2}$ $y = 14 - 2x$

This shows that the equation $4x + 2y = 28$ is indeed equivalent to $y = 14 - 2x$.

Would you like further explanation, or do you have any questions?

Here are five related questions:

1. How would you solve for $x$ in the equation $4x + 2y = 28$?
2. What would the graph of $y = 14 - 2x$ look like?
3. How can you find the x- and y-intercepts of $4x + 2y = 28$?
4. What happens to the value of $y$ as $x$ increases in $y = 14 - 2x$?
5. Can we rewrite $y = 14 - 2x$ in terms of another variable if given additional equations?

Tip: Solving for a specific variable involves isolating that variable by applying inverse operations to both sides of the equation.