Final answer:
To solve for y in the equation ag = 2h - 3/y, first multiply through by y to clear the fraction, rearrange the equation, factor out y and then divide by the factor remaining on the other side, leading to the solution y = 3 / (2h - ag).
Step-by-step explanation:
To solve for y in the equation ag = 2h - 3/y, follow these steps:
- Multiply both sides of the equation by y to eliminate the denominator, resulting in ag × y = 2h × y - 3.
- Rearrange the equation to isolate y on one side, which gives us ag × y + 3 = 2h × y.
- Now, to solve for y, factor it out from both terms on the right side of the equation and divide by the remaining factor, which gives us y = 3 / (2h - ag).