To solve the equation \(10y - 9(2y + 6) = -94\), we will follow these steps: 1. **Distribute the -9**: \[ 10y - 18y - 54 = -94 \] 2. **Combine like terms**: \[ (10y - 18y) - 54 = -94 \] \[ -8y - 54 = -94 \] 3. **Add 54 to both sides**: \[ -8y = -94 + 54 \] \[ -8y = -40 \] 4. **Divide both sides by -8**: \[ y = \frac{-40}{-8} = 5 \] Thus, the solution is: \[ y = 5 \]

10y-9(2y+6=-94

1 answer

To solve the equation \(10y - 9(2y + 6) = -94\), we will follow these steps:

Distribute the -9: \[ 10y - 18y - 54 = -94 \]
Combine like terms: \[ (10y - 18y) - 54 = -94 \] \[ -8y - 54 = -94 \]
Add 54 to both sides: \[ -8y = -94 + 54 \] \[ -8y = -40 \]
Divide both sides by -8: \[ y = \frac{-40}{-8} = 5 \]

Thus, the solution is: \[ y = 5 \]