$$ \begin{aligned} y+\frac{2}{5} &= -\frac{1}{6}&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30y+30\cdot\frac{2}{5} &= -30\cdot\frac{1}{6}&& \text{cancel out the denominators} \\[1 em]30y+12 &= -5&& \text{ move 12 to the right } \\[1 em]30y &= -5-12&& \\[1 em]30y &= -17&& \text{ divide both sides by $ 30 $ } \\[1 em]y &= -\frac{17}{30}&& \\[1 em] \end{aligned} $$

This page was created using