Solve the equation.
4|2y-5|-7=17
Select the correct choice and, if necessary, fill in the answer box in your choice below.
y=
There is no solution.
To solve the equation, we can isolate the absolute value term by adding 7 to both sides of the equation:
4|2y-5| = 24
Next, we divide both sides of the equation by 4 to find the absolute value expression:
|2y-5| = 6
This equation can be rewritten as two separate equations without the absolute value:
2y-5 = 6 or 2y-5 = -6
Solving the first equation, we add 5 to both sides:
2y = 11
Dividing both sides by 2, we find:
y = 11/2
Solving the second equation, we add 5 to both sides:
2y = -1
Dividing both sides by 2, we find:
y = -1/2
Therefore, the solutions to the equation are y = 11/2 and y = -1/2.
Answer: y = 11/2, -1/2