Find the value of y such that 9^y = 3^5 * 9^6 * 81^4/27^3.
Find the value of y.
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\( 9^y= 3^5\cdot 9^6\cdot \dfrac{81^4}{27^3}\\ 3^{2y}=3^5\cdot 3^{2\cdot 6}\cdot \dfrac{3^{4\cdot 4}}{3^{3\cdot 3}}\\ 3^{2y}=3^5\cdot 3^{2\cdot 6}\cdot 3^{4\cdot 4-3\cdot 3}\\ 2y=5+12+16-9\)
\(y=12\)
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