How do you solve \frac{1}{12} + \frac{3}{8}y = \frac{5}{12} + \frac{5}{8} y?

1 Answer

make denominators equal

Explanation:

1/12+(3y)/8 = 5/12+(5y)/8

(2*1)/(2*12)+(3*3y)/(3*8) = (2*5)/(2*12)+(3*5y)/(3*8)

2/24+(9*y)/24 = 10/24 + (15*y)/24

now we can eliminate denominators since they are all the same...

2+9y = 10 + 15y

2=10+15y-9y
2=10+6y
2-10=6y => 6y=-8
y=-8/6 = -4/3