#### Answer

16y - 25

#### Work Step by Step

7 - 4[3 - (4y - 5)]
Step 1: Drop parentheses and change the sign of each term in parentheses: −(4y-5) = −4y +5
7 - 4[3-4y+5]
Step 2 Simplify inside brackets: 3+5 = 8
7-4[8-4y]
Step 3 Apply the distributive property:
7 - 4.8 +4.4y
Step 4: Multiply
7 - 32 +16y
Step 5: Group like terms
(7-32) + 16y
Step 6: Combine the like terms (7-32) = -25
-25 + 16y
Step 7 Commutative Property of Addition
16y - 25