[tex]\text{Hello there!}\\\\\text{Solve for a:}\\\\y=\frac{2x}{a}+2b\\\\\text{Multiply both sides by a}\\\\ay=2x+2ab\\\\\text{Subtract both sides by 2ab}\\\\ay-2ab=2x\\\\\text{Factor out a}\\\\a(y-2b)=2x\\\\\text{Divide both sides by y-2b}\\\\a=\frac{2x}{y-2b}\\\\\boxed{a=\frac{2x}{y-2b}}[/tex]
