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\frac{2y}{5}=b-7
Subtract 7 from both sides.
2y=5b-35
Multiply both sides of the equation by 5.
\frac{2y}{2}=\frac{5b-35}{2}
Divide both sides by 2.
y=\frac{5b-35}{2}
Dividing by 2 undoes the multiplication by 2.