Final answer:
The equation ((y)/(4))^2 = 4 is solved by taking the square root on both sides to get y/4 = ± 2, then multiplying by 4 to find the solutions y = 8 and y = -8.
Step-by-step explanation:
To solve the equation ((y)/(4))^2 = 4, we must first apply the square root to both sides of the equation to remove the exponent on the left. This gives us (y/4) = ± 2, since the square root of 4 is 2 and we consider both the positive and negative solutions. Then, we multiply both sides by 4 to solve for y, which results in y = ± 8. So, the solutions to the equation are y = 8 and y = -8.