Solve for y. Express your answer as a proper or improper fraction in simplest terms.
-2/3 = 1/8y - 5/6
To solve for y, we will isolate the y variable.
First, let's add 5/6 to both sides of the equation:
-2/3 + 5/6 = 1/8y - 5/6 + 5/6
-4/6 + 5/6 = 1/8y
1/6 = 1/8y
Next, let's multiply both sides of the equation by 8/1 (or simply 8) to get rid of the fraction on the right-hand side:
(8/1) * (1/6) = (8/1) * (1/8y)
8/6 = y
Simplifying the left side of the equation 8/6, we get:
4/3 = y
Therefore, the solution for y is 4/3.