$$\frac{16}{19}y = \frac{20}{38}$$
Answer
$$ y = \frac{5}{8} $$
Explanation
$$ \begin{aligned} \frac{16}{19}y &= \frac{20}{38}&& \text{multiply ALL terms by } \color{blue}{ 38 }. \\[1 em]38 \cdot \frac{16}{19}y &= 38\cdot\frac{20}{38}&& \text{cancel out the denominators} \\[1 em]32y &= 20&& \text{ divide both sides by $ 32 $ } \\[1 em]y &= \frac{20}{32}&& \\[1 em]y &= \frac{5}{8}&& \\[1 em] \end{aligned} $$
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