\( \begin{aligned} & \frac{5 x+8}{6}+\frac{3(4 x+9 y}{6} \\ = & \frac{5 x+y+3(4 x+9 y)}{6} \\ = & \frac{5 x+y+12 x+27 y}{6} \end{aligned} \)

Let’s spice this up a bit! Did you know that fractions have been around since ancient times? The Egyptians used a system of unit fractions as far back as 3000 BC to manage their trade and taxation! They worked with fractions in various documents including the famous Rhind Mathematical Papyrus. It’s fascinating to think that the math we’re using today has such ancient roots! As you tackle equations like these, remember to keep like terms together and simplify wisely. A common mistake is rushing through combining terms—make sure you don’t lose track of a variable or coefficient. Taking a moment to double-check can save you all sorts of frustration down the road! Happy solving!