$$ \begin{aligned} 6s-4 &= 8\cdot(2+\frac{1}{4}s)&& \text{simplify right side} \\[1 em]6s-4 &= 8\cdot(2+\frac{s}{4})&& \\[1 em]6s-4 &= 8 \cdot \frac{s+8}{4}&& \\[1 em]6s-4 &= \frac{8s+64}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot6s-4\cdot4 &= 4 \cdot \frac{8s+64}{4}&& \text{cancel out the denominators} \\[1 em]24s-16 &= 8s+64&& \text{move the $ \color{blue}{ 8s } $ to the left side and $ \color{blue}{ -16 }$ to the right} \\[1 em]24s-8s &= 64+16&& \text{simplify left and right hand side} \\[1 em]16s &= 80&& \text{ divide both sides by $ 16 $ } \\[1 em]s &= \frac{80}{16}&& \\[1 em]s &= 5&& \\[1 em] \end{aligned} $$

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