Question
$$3y+8 = 10y-6$$
Answer
$$ y = 2 $$
Explanation
$$ \begin{aligned} 3y+8 &= 10y-6&& \text{move the $ \color{blue}{ 10y } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]3y-10y &= -6-8&& \text{simplify left and right hand side} \\[1 em]-7y &= -14&& \text{ divide both sides by $ -7 $ } \\[1 em]y &= \frac{-14}{-7}&& \\[1 em]y &= 2&& \\[1 em] \end{aligned} $$
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