$$ \begin{aligned} -\frac{y}{9}+41 &= 42&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]-9 \cdot \frac{y}{9}+9\cdot41 &= 9\cdot42&& \text{cancel out the denominators} \\[1 em]-y+369 &= 378&& \text{ move 369 to the right } \\[1 em]-y &= 378-369&& \\[1 em]-y &= 9&& \text{switch signs on both sides} \\[1 em]y &= -9&& \\[1 em] \end{aligned} $$

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