Answer:
y - 11/8
Explanation:
The first step in simplifying the expression is to expand it.
[tex]\frac{5}{4}(y-1)-\frac{1}{8}(2y+1)=\frac{5}{4}y-\frac{5}{4}-\frac{2y}{8}-\frac{1}{8}[/tex]
A bit of rearranging gives
[tex](\frac{5y}{4}-\frac{y}{4})-\frac{5}{4}-\frac{1}{8}[/tex]
Now,
[tex]\frac{5y}{4}-\frac{y}{4}=\frac{4y}{4}=y[/tex]
and
[tex]-\frac{5}{4}-\frac{1}{8}=-\frac{10}{8}-\frac{1}{8}=-\frac{11}{8}[/tex]
therefore,
[tex](\frac{5y}{4}-\frac{y}{4})-\frac{5}{4}-\frac{1}{8}=y-\frac{11}{8}[/tex]
Hence, our answer is
[tex]\boxed{y-\frac{11}{8}}[/tex]
which can be written as
[tex]\frac{1}{8}(8y-11)\text{ }[/tex]
