Question

1/3y+11=1/2y-3 What is y???

Answer 1

Answer:

y = 84

Step-by-step 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

Answer:

$y=84$

Step-by-step explanation:

$\left(\frac{1}{3}\right)y+11=\left(\frac{1}{2}\right)y-3$

Use distributive property.

$\frac{1}{3}y+11=\frac{1}{2}y-3$

$\frac{1}{3}y+11-11=\frac{1}{2}y-3-11$

$\frac{1}{3}y=\frac{1}{2}y-14$

$\frac{1}{3}y-\frac{1}{2}y=\frac{1}{2}y-14-\frac{1}{2}y$

$-\frac{1}{6}y=-14$

$\left(-\frac{1}{6}y\right)\left(-6\right)=\left(-14\right)\left(-6\right)$

$y=84$