$$ \begin{aligned} \frac{2}{3}y-1 &= 3&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}y-3\cdot1 &= 3\cdot3&& \text{cancel out the denominators} \\[1 em]2y-3 &= 9&& \text{ move -3 to the right } \\[1 em]2y &= 9+3&& \\[1 em]2y &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= \frac{12}{2}&& \\[1 em]y &= 6&& \\[1 em] \end{aligned} $$

This page was created using