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Given that $y$ is a real number such that

$1-\frac{y-\frac{3y+1}{5}}{3}=\frac{y}{2}-\frac{2y-\frac{10-6y}{7}}{2},$

and $y$ can be expressed in the form $-\frac{a}{b}$, where $a$ and $b$ are coprime, positive integers, find the value of $a+b$.

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