The problem asks to solve the equation $16x + \frac{4}{3}y = 15$ for $y$ in terms of $x$.

1. Problem Description

The problem asks to solve the equation $16x + \frac{4}{3}y = 15$ for $y$ in terms of $x$.

2. Solution Steps

First, isolate the term with $y$ by subtracting $16x$ from both sides of the equation:

$\frac{4}{3}y = 15 - 16x$

Next, multiply both sides of the equation by $\frac{3}{4}$ to solve for $y$:

$y = \frac{3}{4}(15 - 16x)$

Distribute the $\frac{3}{4}$ to both terms inside the parenthesis:

$y = \frac{3}{4}(15) - \frac{3}{4}(16x)$

$y = \frac{45}{4} - \frac{48}{4}x$

$y = \frac{45}{4} - 12x$

3. Final Answer

$y = \frac{45}{4} - 12x$