Question

3(y – 5) + 2 = 5 A. y = 4 B. y = 7 C. y = –4 D. y = 6

Answer 1

Answer:

y = 6

Step-by-step explanation:

Step 1: Write equation

3(y - 5) + 2 = 5

Step 2: Solve for y

1. Distribute 3: 3y - 15 + 2 = 5
2. Combine like terms: 3y - 13 = 5
3. Add 13 to both sides: 3y = 18
4. Divide both sides by 3: y = 6

Step 3: Check

Plug in y to verify it's a solution.

3(6 - 5) + 2 = 5

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Answer 2

Answer:

D.) y = 6

3 (y - 5) + 2 = 5

subtract 2 from both sides

3 (y - 5) + 2 - 2 = 5 - 2

simplify

3 (y - 5) = 3

divide both sides by 3

3(y - 5)/3 = 3/3

simplify

y - 5 = 1

add 5 to both sides

y - 5 + 5 = 1 + 5

simplify

y = 6