Question
$$2y+3 = 4y+2$$
Answer
$$ y = \dfrac{1}{2} $$
Explanation
$$ \begin{aligned} 2y+3 &= 4y+2&& \text{move the $ \color{blue}{ 4y } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]2y-4y &= 2-3&& \text{simplify left and right hand side} \\[1 em]-2y &= -1&& \text{ divide both sides by $ -2 $ } \\[1 em]y &= \frac{-1}{-2}&& \\[1 em]y &= \frac{1}{2}&& \\[1 em] \end{aligned} $$
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