When $6y^3+5y^2-16y+8$ is divided by $2y+3$ the quotient is $3y^2+cy+\frac{5}{2}c$. What is the remainder?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
When $6y^3+5y^2-16y+8$ is divided by $2y+3$ the quotient is $3y^2+cy+\frac{5}{2}c$. What is the remainder?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
23
When $6y^3+5y^2-16y+8$ is divided by $2y+3$ the quotient is $3y^2+cy+\frac{5}{2}c$. What is the remainder?
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