Question

1/3y+11=1/2y-3

What is y???

Answer 1

y = 84

Explanation:

1) 1/3y + 11 = 1/2y - 3

2) Add 3 to both sides

3) 1/3y + 14 = 1/2y

4) Subtract 1/3y from both sides

5) 14 = 1/6y

6) Multiple the reciprocal of the coefficient (1/6), which is 6 by both sides

7) 84 = y

Answer 2

`y=84`

Explanation:

`\left((1)/(3)\right)y+11=\left((1)/(2)\right)y-3`

Use distributive property.

`(1)/(3)y+11=(1)/(2)y-3`

`(1)/(3)y+11-11=(1)/(2)y-3-11`

`(1)/(3)y=(1)/(2)y-14`

`(1)/(3)y-(1)/(2)y=(1)/(2)y-14-(1)/(2)y`

`-(1)/(6)y=-14`

`\left(-(1)/(6)y\right)\left(-6\right)=\left(-14\right)\left(-6\right)`

`y=84`