Answer
y=0 or y=3
Work Step by Step
4|2y−3|−1=11⟶ add 1 to each side
4|2y−3|−1+1=11+1⟶ add
4|2y−3|=12⟶ divide each side by 4
4|2y−3|÷4=12÷4⟶ divide
|2y−3|=3⟶ definition of absolute value
2y−3=−3 or 2y−3=3 solve each equation
2y−3=−3⟶ add 3 to each side
2y−3+3=−3+3⟶ add
2y=0⟶ divide each side by 2
2y÷2=0÷2⟶ divide
y=0
OR
2y−3=3⟶ add 3 to each side
2y−3+3=3+3⟶ add
2y=6⟶ divide each side by 2
2y÷2=6÷2⟶ divide
y=3
