$$ \begin{aligned} -39 &= -43+\frac{y}{11}&& \text{multiply ALL terms by } \color{blue}{ 11 }. \\[1 em]11\cdot(-39) &= -11\cdot43+11 \cdot \frac{y}{11}&& \text{cancel out the denominators} \\[1 em]-429 &= -473+y&& \text{ swap the left and right side of the equation } \\[1 em]-473+y &= -429&& \text{ move -473 to the right } \\[1 em]y &= -429+473&& \\[1 em]y &= 44&& \\[1 em]y &= 44&& \\[1 em] \end{aligned} $$

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