Final answer:
The two-step equation 1/3y - 6 = 24 is solved by first adding 6 to both sides, resulting in 1/3y = 30, and then multiplying both sides by 3 to isolate y, giving the solution y = 90.
Step-by-step explanation:
To solve the two-step equation 1/3y - 6 = 24, we first aim to isolate the variable y on one side of the equation.
- First, add 6 to both sides of the equation to get rid of the -6. The equation then becomes 1/3y = 24 + 6, which simplifies to 1/3y = 30.
- Next, to remove the fraction, multiply both sides of the equation by 3. This step gives us y = 3 * 30, which means y = 90. So, the solution to the equation is y = 90.