Solve T = 2x + 3y − z for y.

Answer 1

To solve the equation \( T = 2x + 3y - z \) for \( y \), follow these steps:

1. Start with the original equation: \[ T = 2x + 3y - z \]

2. Rearrange the equation to isolate the term containing \( y \): \[ 3y = T - 2x + z \]

3. Divide every term by 3 to solve for \( y \): \[ y = \frac{T - 2x + z}{3} \]

Thus, the solution for \( y \) is: \[ y = \frac{T - 2x + z}{3} \]