Final answer:
To solve for y in the equation y - (5/8) = -(3/4), add (5/8) to both sides of the equation to isolate y. Simplify the equation by finding the common denominator for the fractions, then combine the fractions. The solution is y = -1/8.
Step-by-step explanation:
To solve for y in the equation y - (5/8) = -(3/4), we need to isolate y on one side of the equation.
- Start by adding (5/8) to both sides of the equation to get rid of the constant term on the left side.
- This gives us: y - (5/8) + (5/8) = -(3/4) + (5/8)
- Simplify the equation: y = -(3/4) + (5/8)
- Find the common denominator for the fractions on the right side of the equation. The common denominator for 4 and 8 is 8.
- Convert both fractions to have a denominator of 8: y = -6/8 + 5/8
- Combine the fractions: y = -1/8
- So, y = -1/8 is the solution to the equation.