Answer:
y = -1
Step-by-step explanation:
Step 1: Write equation
2(y + 2) - y = 3(y - 1) + 9
Step 2: Solve for y
- Distribute: 2y + 4 - y = 3y - 3 + 9
- Combine like terms: y + 4 = 3y + 6
- Subtract y on both sides: 4 = 2y + 6
- Subtract 6 on both sides: -2 = 2y
- Divide both sides by 2: -1 = y
- Rewrite: y = -1
Step 3: Check
Plug in y to verify it's a solution.
2(-1 + 2) - (-1) = 3(-1 - 1) + 9
2(1) + 1 = 3(-2) + 9
2 + 1 = -6 + 9
3 = 3
