Solve for ' y ' :
![\begin{gathered} \sf\dfrac{\left(\dfrac{1}{9}\right)^{2y - 1}(0.0081)^{\frac{1}{3}}}{\sqrt{243}} = \left(\dfrac{1}{3}\right)^{2y - 5} \sqrt[3]{\dfrac{(27)^{y - 1}}{10000}} \\ \sf A)\frac{1}{2} \qquad \qquad B)\frac{-19}{18}\\\\\sf C)\frac{3}{10} \qquad \qquad D)\frac{12}{17}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D+%5Csf%5Cdfrac%7B%5Cleft%28%5Cdfrac%7B1%7D%7B9%7D%5Cright%29%5E%7B2y+-+1%7D%280.0081%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B%5Csqrt%7B243%7D%7D+%3D+%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E%7B2y+-+5%7D+%5Csqrt%5B3%5D%7B%5Cdfrac%7B%2827%29%5E%7By+-+1%7D%7D%7B10000%7D%7D+%5C%5C++%5Csf+A%29%5Cfrac%7B1%7D%7B2%7D+%5Cqquad+%5Cqquad+B%29%5Cfrac%7B-19%7D%7B18%7D%5C%5C%5C%5C%5Csf+C%29%5Cfrac%7B3%7D%7B10%7D+%5Cqquad+%5Cqquad+D%29%5Cfrac%7B12%7D%7B17%7D%5Cend%7Bgathered%7D%C2%A0 "\begin{gathered} \sf\dfrac{\left(\dfrac{1}{9}\right)^{2y - 1}(0.0081)^{\frac{1}{3}}}{\sqrt{243}} = \left(\dfrac{1}{3}\right)^{2y - 5} \sqrt[3]{\dfrac{(27)^{y - 1}}{10000}} \\ \sf A)\frac{1}{2} \qquad \qquad B)\frac{-19}{18}\\\\\sf C)\frac{3}{10} \qquad \qquad D)\frac{12}{17}\end{gathered}")
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