solve for 'y'
5y - 1/3 ( y+1) = 6 ( y + 1/30)

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Solution

$5 y - \frac{1}{3} (y + 1) = 6 (y + \frac{1}{30}) \Rightarrow 5 y - \frac{y}{3} - \frac{1}{3} = 6 y + \frac{1}{5} \Rightarrow \frac{14 y}{3} - \frac{1}{3} = 6 y + \frac{1}{5} \Rightarrow \frac{14 y}{3} - 6 y = \frac{1}{5} + \frac{1}{3} \Rightarrow - \frac{4 y}{3} = \frac{8}{15} \Rightarrow y = - \frac{2}{5}$

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