#### Answer

10 y - 54

#### Work Step by Step

6 - 5[8 - (2y - 4)]
Step 1: Drop parentheses and change the sign of each term in parentheses: −(2y-4) = -2y +4
6-5[8-2y+4]
Step 2 Simplify inside brackets: 8+4 =12
6-5[12 -2y]
Step 3 Apply the distributive property:
6 - 5.12 +5.2y
Step 4: Multiply
6 - 60 + 10y
Step 5: Group like terms
(6-60) + 10y
Step 6: Combine the like terms (6 - 60) = -54
-54 + 10y
Step 7 Commutative Property of Addition
10 y - 54