Question

4/9(9y+3)=g solve for y

Answer 1

`(4)/(9)` (9y + 3) = g Use the Distributive Property

`(4 (9y))/(9)` +
`(4 (3))/(9)` = g Simplify the numerators

`(36y)/(9)` +
`(12)/(9)` = g Simplify the fractions

`(4y)/(1)` +
`(4)/(3)` = g Subtract
`(4)/(3)` from both sides
4y = g -
`(4)/(3)` Divide both sides by 4

When you divide a fraction by a number, you're actually just multiplying the fraction by the reciprocal of the number. So,
`(4)/(3)` ÷ 4 is actually just
`(4)/(3)` x
`(1)/(4)`.

y =
`(g)/(4)` -
`(1)/(3)`