Final answer:
To solve the equation (3/4y²) - 3 = 18, isolate the variable term, y², by adding 3 to both sides of the equation. Then, multiply both sides by 4/3 to isolate y². Finally, take the square root of both sides to find the solutions for y.
Step-by-step explanation:
To solve the equation (3/4y²) - 3 = 18, we can begin by isolating the variable term. We do this by adding 3 to both sides of the equation:
(3/4y²) = 21
Next, we isolate y² by multiplying both sides of the equation by 4/3:
y² = (4/3) * 21 = 28
Finally, we take the square root of both sides to solve for y:
y = ± √(28)
Therefore, the solutions to the equation are y = √(28) and y = -√(28).