Subtract. Simplify, if possible.
-$\frac { 2 ( y - 1 ) } { 3 y - 8 } - \frac { y - 2 } { 8 - 3 y } - \frac { 3 y } { 3 y - 8 }$
A) $\frac { - 2 y } { 3 y - 8 }$
B) $\frac { 4 } { 3 y - 8 }$
C) $\frac { - 4 } { ( 3 y - 8 ) ( 8 - 3 y ) }$
D) $\frac { - 4 } { 3 y - 8 }$

Question

Quizplus · Accepted Answer

The denominators $3y - 8$ and $8 - 3y$ are essentially the same but with opposite signs, so they can be made common by factoring out -1 from one of them. Simplifying the expression leads to $\frac{-4}{3y-8}$.

Subtract Simplify, If Possible 2(y−1)3y−8−y−28−3y−3y3y−8\frac { 2 ( y - 1 ) } { 3 y - 8 } - \frac { y - 2 } { 8 - 3 y } - \frac { 3 y } { 3 y - 8 }3y−82(y−1)​−8−3yy−2​−3y−83y​

Subtract Simplify, If Possible $\frac { 2 ( y - 1 ) } { 3 y - 8 } - \frac { y - 2 } { 8 - 3 y } - \frac { 3 y } { 3 y - 8 }$