Final answer:
To solve the equation 1/2 = 1/4 * (y + 1/8) for y, multiply both sides by 4 to eliminate the fraction, simplify the equation, subtract 1/8 from both sides, and simplify the equation further. The solution is y = 15/8.
Step-by-step explanation:
To solve the equation 1/2 = 1/4 * (y + 1/8) for y, we need to isolate y. Here's how:
- Multiply both sides of the equation by 4 to eliminate the fraction: 4 * (1/2) = 4 * (1/4 * (y + 1/8))
- Simplify the equation: 2 = y + 1/8
- Subtract 1/8 from both sides to isolate y: 2 - 1/8 = y
- Simplify the equation: 15/8 = y
Therefore, the solution to the equation is y = 15/8.