Question
$$7y+13 = 5y-3$$
Answer
$$ y = -8 $$
Explanation
$$ \begin{aligned} 7y+13 &= 5y-3&& \text{move the $ \color{blue}{ 5y } $ to the left side and $ \color{blue}{ 13 }$ to the right} \\[1 em]7y-5y &= -3-13&& \text{simplify left and right hand side} \\[1 em]2y &= -16&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= -\frac{16}{2}&& \\[1 em]y &= -8&& \\[1 em] \end{aligned} $$
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