Question

See the image below.

Answer 1

Answer and Explanation:

The expression
`(3y + 5) + (1)/(2)(3y + 5)` is equivalent to the expression
`1.5(3y + 5)` because of the distributive property and the equivalence of
`1 (1)/(2)` and
`1.5`.

In other words:

We know that

`1 + (1)/(2) = 1 (1)/(2) = 1.5`,

and that

`(B + C)(A) = BA + CA`.

Therefore,

`1A + (1)/(2)A = 1 (1)/(2)A = 1.5A`

and

`(3y + 5) + (1)/(2)(3y + 5) = 1.5(3y + 5)`.

To simplify
`1.5(3y + 5)`, we can distribute the 1.5.

`1.5(3y + 5) = (1.5) (3y) + (1.5)(5)`

`= \boxed{4.5y + 7.5}`