The vertex of the parabola described by the equation $3y=2x^2-16x+18$ is $(m,n)$. What is $m+n$?
<|im_start|>system
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<|im_start|>user
The vertex of the parabola described by the equation $3y=2x^2-16x+18$ is $(m,n)$. What is $m+n$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{2}{3}
The vertex of the parabola described by the equation $3y=2x^2-16x+18$ is $(m,n)$. What is $m+n$?
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