For what value of the constant $a$ does the system of equations below have infinitely many solutions?   \begin{align*} 3x + 2y &= 8,\\ 6x &= 2a - 7 - 4y \end{align*}
<|im_start|>system
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<|im_start|>user
For what value of the constant $a$ does the system of equations below have infinitely many solutions?   \begin{align*} 3x + 2y &= 8,\\ 6x &= 2a - 7 - 4y \end{align*}
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{23}{2}
For what value of the constant $a$ does the system of equations below have infinitely many solutions?   \begin{align*} 3x + 2y &= 8,\\ 6x &= 2a - 7 - 4y \end{align*}
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