Solve the equation for the indicated variable: T=6U over B+E for E

Solution:
1. Given equation: T = \frac{6U}{B+E}

2. Multiply both sides by B + E to eliminate the fraction:
T(B + E) = 6U

3. Distribute T on the left side of the equation:
TB + TE = 6U

4. Subtract TB from both sides to isolate the term involving E:
TE = 6U - TB

5. Divide both sides by T to solve for E:
E = \frac{6U - TB}{T}