Question

Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3

Answer 1

Given:

The expression is

`-(3)/(4)(8y-12)+(1)/(5)(15y-30)`

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

`-(3)/(4)(8y-12)+(1)/(5)(15y-30)`

Using distributive property, we get

`=-(3)/(4)(8y)-(3)/(4)(-12)+(1)/(5)(15y)+(1)/(5)(-30)`

`=-6y+9+3y-6`

On combining like terms, we get

`=(-6y+3y)+(9-6)`

`=-3y+3`

Therefore, the correct option is B.