Simplify the algebraic expression. \[ 6-2[5-(2 y-4)] \] \[ 6-2[5-(2 y-4)]= \]

Step 1 ：Distribute the negative sign inside the brackets by multiplying each term inside the brackets by -2: \(6-2[5-(2 y-4)] = 6 - 2[5 - 2y + 4]\).

Step 2 ：Simplify the expression inside the brackets: \(6 - 2[5 - 2y + 4] = 6 - 2[9 - 2y]\).

Step 3 ：Distribute -2 to each term inside the brackets: \(6 - 2[9 - 2y] = 6 - 18 + 4y\).

Step 4 ：Combine like terms: \(6 - 18 + 4y = -12 + 4y\).

Step 5 ：Rearrange the terms: \(-12 + 4y = 4y - 12\).

Step 6 ：Final Answer: The simplified form of the algebraic expression is \(\boxed{4y - 12}\).