$$ \begin{aligned} 4(y-6) &= 7y&& \text{simplify left side} \\[1 em]4y-24 &= 7y&& \text{move the $ \color{blue}{ 7y } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]4y-7y &= 24&& \text{simplify left side} \\[1 em]-3y &= 24&& \text{ divide both sides by $ -3 $ } \\[1 em]y &= -\frac{24}{3}&& \\[1 em]y &= -8&& \\[1 em] \end{aligned} $$

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