Question

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:
\[
y = \frac{T - 2x + z}{3}
\]