$$ \begin{aligned} -\frac{3}{4}+y &= \frac{61}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]-8\cdot\frac{3}{4}+8y &= 8\cdot\frac{61}{8}&& \text{cancel out the denominators} \\[1 em]-6+8y &= 61&& \text{ move -6 to the right } \\[1 em]8y &= 61+6&& \\[1 em]8y &= 67&& \text{ divide both sides by $ 8 $ } \\[1 em]y &= \frac{67}{8}&& \\[1 em] \end{aligned} $$

This page was created using