Add the opposite of the \( y \)-term to both sides. \( \begin{aligned} 3 x-4 y & =8 \\ 3 x & =\square+8\end{aligned} \)

To isolate \( y \), let's manipulate the equation a bit. Starting with \( 3x - 4y = 8 \), we can add \( 4y \) to both sides to get \( 3x = 4y + 8 \). Next, to find \( y \) in terms of \( x \), we would subtract 8 from both sides and then divide by 4: \( y = \frac{3x - 8}{4} \). This shows how algebra can be used to rearrange equations to solve for different variables! Additionally, this method of rearranging equations is not just limited to simple linear equations. In various fields such as physics and economics, similar techniques are used to extract useful information and relationships between different quantities. For example, in physics, knowing how to isolate variables can help solve problems involving motion, force, and energy. Being proficient in these skills makes you a better problem solver in daily life and various professional realms!