$$ \begin{aligned} 7 \cdot \frac{y}{10}-\frac{2}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot7 \cdot \frac{y}{10}-10\cdot\frac{2}{10} &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]7y-2 &= 0&& \text{ move the constants to the right } \\[1 em]7y &= 2&& \text{ divide both sides by $ 7 $ } \\[1 em]y &= \frac{2}{7}&& \\[1 em] \end{aligned} $$

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