$$ \begin{aligned} 5 &= 2y+5-7y&& \text{simplify right side} \\[1 em]5 &= -5y+5&& \text{ swap the left and right side of the equation } \\[1 em]-5y+5 &= 5&& \text{ move 5 to the right } \\[1 em]-5y &= 5-5&& \\[1 em]-5y &= 0&& \text{ divide both sides by $ -5 $ } \\[1 em]y &= \frac{0}{-5}&& \\[1 em]y &= 0&& \\[1 em] \end{aligned} $$
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