Solve for y

Algebra Level 4

Given that yy is a real number such that

1y3y+153=y22y106y72,1-\frac{y-\frac{3y+1}{5}}{3}=\frac{y}{2}-\frac{2y-\frac{10-6y}{7}}{2},

and yy can be expressed in the form ab-\frac{a}{b}, where aa and bb are coprime, positive integers, find the value of a+ba+b.

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