In each equation, isolate the i a. \( 3 x+4 y=12 \quad \) for \( y \)

To isolate \( y \) in the equation \( 3x + 4y = 12 \), we start by moving \( 3x \) to the other side. This gives us \( 4y = 12 - 3x \). Next, we divide both sides by \( 4 \) to solve for \( y \), leading us to \( y = \frac{12 - 3x}{4} \). Simplifying it further, we can write it as \( y = 3 - \frac{3}{4}x \). Voilà! You've isolated \( y \) in a clear and neat way. Now, let's have a little fun with how this equation can be applied. Imagine you’re planning a party! The equation could represent your budget constraints where \( x \) is the number of pizzas you order, and \( y \) is the number of drinks. Keeping track of how much you can spend while maximizing the fun is like solving for those variables in your social life!