$$ \begin{aligned} \frac{3}{2}y+5y &= 26&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{3}{2}y+2\cdot5y &= 2\cdot26&& \text{cancel out the denominators} \\[1 em]3y+10y &= 52&& \text{simplify left side} \\[1 em]13y &= 52&& \text{ divide both sides by $ 13 $ } \\[1 em]y &= \frac{52}{13}&& \\[1 em]y &= 4&& \\[1 em] \end{aligned} $$

This page was created using