$$ \begin{aligned} 6y+2 &= 4y-8&& \text{move the $ \color{blue}{ 4y } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]6y-4y &= -8-2&& \text{simplify left and right hand side} \\[1 em]2y &= -10&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= -\frac{10}{2}&& \\[1 em]y &= -5&& \\[1 em] \end{aligned} $$
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