Question
$$8y+1 = 9y-14$$
Answer
$$ y = 15 $$
Explanation
$$ \begin{aligned} 8y+1 &= 9y-14&& \text{move the $ \color{blue}{ 9y } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]8y-9y &= -14-1&& \text{simplify left and right hand side} \\[1 em]-y &= -15&& \text{switch signs on both sides} \\[1 em]y &= 15&& \\[1 em] \end{aligned} $$
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