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

Answer

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Answer

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

Steps

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 \(\boxed{4y - 12}\).