Question

Please Help / Number 6 ( Look at the picture ) MY WORK HAS TO BE SHOWN TO GET FULL CREDIT

Answer 1

y - 11/8

Step-by-step explanation:

The first step in simplifying the expression is to expand it.

`(5)/(4)(y-1)-(1)/(8)(2y+1)=(5)/(4)y-(5)/(4)-(2y)/(8)-(1)/(8)`

A bit of rearranging gives

`((5y)/(4)-(y)/(4))-(5)/(4)-(1)/(8)`

Now,

`(5y)/(4)-(y)/(4)=(4y)/(4)=y`

and

`-(5)/(4)-(1)/(8)=-(10)/(8)-(1)/(8)=-(11)/(8)`

therefore,

`((5y)/(4)-(y)/(4))-(5)/(4)-(1)/(8)=y-(11)/(8)`

Hence, our answer is

`\boxed{y-(11)/(8)}`

which can be written as

`(1)/(8)(8y-11)\text{ }`