4B+6=5(B-9)

Solution for 4B+6=5(B-9) equation:

Simplifying
4B + 6 = 5(B + -9)

Reorder the terms:
6 + 4B = 5(B + -9)

Reorder the terms:
6 + 4B = 5(-9 + B)
6 + 4B = (-9 * 5 + B * 5)
6 + 4B = (-45 + 5B)

Solving
6 + 4B = -45 + 5B

Solving for variable 'B'.

Move all terms containing B to the left, all other terms to the right.

Add '-5B' to each side of the equation.
6 + 4B + -5B = -45 + 5B + -5B

Combine like terms: 4B + -5B = -1B
6 + -1B = -45 + 5B + -5B

Combine like terms: 5B + -5B = 0
6 + -1B = -45 + 0
6 + -1B = -45

Add '-6' to each side of the equation.
6 + -6 + -1B = -45 + -6

Combine like terms: 6 + -6 = 0
0 + -1B = -45 + -6
-1B = -45 + -6

Combine like terms: -45 + -6 = -51
-1B = -51

Divide each side by '-1'.
B = 51

Simplifying
B = 51