Question

Solving the equation

Answer 1

y = 5

Explanation:

Step 1: Write equation

-(4y + 2) - (-3y - 6) = -1

Step 2: Solve for y

1. Distribute: -4y - 2 + 3y + 6 = -1
2. Combine like terms: -y + 4 = -1
3. Subtract 4 on both sides: -y = -5
4. Divide both sides by -1: y = 5

Step 3: Check

Plug in y to verify it's a solution.

-(4(5) + 2) - (-3(5) - 6) = -1

-(20 + 2) - (-15 - 6) = -1

-22 - (-21) = -1

-22 + 21 = -1

-1 = -1