7/8y +1/3 = 7/12
what does y equal?

1 Simplify \frac{7}{8}y
8

7
y to \frac{7y}{8}
8

7y

\frac{7y}{8}+\frac{1}{3}=\frac{7}{12}
8

7y
+
3

1
=
12

7


2 Subtract \frac{1}{3}
3

1
from both sides
\frac{7y}{8}=\frac{7}{12}-\frac{1}{3}
8

7y
=
12

7
−
3

1


3 Simplify \frac{7}{12}-\frac{1}{3}
12

7
−
3

1
to \frac{1}{4}
4

1

\frac{7y}{8}=\frac{1}{4}
8

7y
=
4

1


4 Multiply both sides by 88
7y=\frac{1}{4}\times 87y=
4

1
×8

5 Simplify \frac{1}{4}\times 8
4

1
×8 to \frac{8}{4}
4

8

7y=\frac{8}{4}7y=
4

8


6 Simplify \frac{8}{4}
4

8
to 22
7y=27y=2

7 Divide both sides by 77
y=\frac{2}{7}y=
7

2