$$ \begin{aligned} 7y-\frac{2}{8}-2y+\frac{8}{8} &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot7y-8\cdot\frac{2}{8}-8\cdot2y+8\cdot\frac{8}{8} &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]56y-2-16y+8 &= 0&& \text{simplify left side} \\[1 em]40y+6 &= 0&& \text{ move the constants to the right } \\[1 em]40y &= -6&& \text{ divide both sides by $ 40 $ } \\[1 em]y &= -\frac{6}{40}&& \\[1 em]y &= -\frac{3}{20}&& \\[1 em] \end{aligned} $$

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