# Solve for y

Algebra Level 4

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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