Question

Simplify-3/7(y-28)-1/21y

Answer 1

Explanation:

I will assume that you meant: (-3/7)(y-28) - (1/21)y

Using the distributive property of multiplication, we get:

(-3/7)y + (3/7)(28) - (1/21)y

Let's first reudce the middle term. We get: 12

Then we have:

(-3/7)y + 12 - (1/21)y

Here there are two different denominators. We must combine the y terms. The LCD here is 21. Multiplying (-3/7)y by 21/21, we get the equivalent:

-9y

------ + 12 - (1/21)y

21

or:

-9y 21

------ + 12----- - (1/21)y

21 21

Combining the y terms, we get (-10/21)y:

-10y 252

------- + -------- = (1/21)(-10y + 252)

21 21