What is ((3y-4)-(9y+5))/(3y) ?

The solution to ((3y-4)-(9y+5))/(3y) is -(2y+3)/y

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simplify ((3y-4)-(9y+5))/(3y)

simplify

\frac{( 3 y - 4 ) - ( 9 y + 5 )}{3 y}

- \frac{2 y + 3}{y}

Solution steps

\frac{( 3 y - 4 ) - ( 9 y + 5 )}{3 y}

Apply rule:

(a) = a

(3 y - 4) = 3 y - 4

= \frac{3 y - 4 - ( 9 y + 5 )}{3 y}

Simplify

3 y - 4 - (9 y + 5) : - 6 y - 9

= \frac{- 6 y - 9}{3 y}

Factor

- 6 y - 9 : - 3 (2 y + 3)

= \frac{- 3 ( 2 y + 3 )}{3 y}

Cancel the common factor:

3

= \frac{- ( 2 y + 3 )}{y}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2 y + 3}{y}

8 x - 20 y - 10

(1 + 3 i)^{9}

2 x + (- x)

d (t)

What is ((3y-4)-(9y+5))/(3y) ?
The solution to ((3y-4)-(9y+5))/(3y) is -(2y+3)/y