(4b-15)-(6-64)=b

Solution for (4b-15)-(6-64)=b equation:

Simplifying
(4b + -15) + -1(6 + -64) = b

Reorder the terms:
(-15 + 4b) + -1(6 + -64) = b

Remove parenthesis around (-15 + 4b)
-15 + 4b + -1(6 + -64) = b

Combine like terms: 6 + -64 = -58
-15 + 4b + -1(-58) = b

Multiply -1 * -58
-15 + 4b + 58 = b

Reorder the terms:
-15 + 58 + 4b = b

Combine like terms: -15 + 58 = 43
43 + 4b = b

Solving
43 + 4b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
43 + 4b + -1b = b + -1b

Combine like terms: 4b + -1b = 3b
43 + 3b = b + -1b

Combine like terms: b + -1b = 0
43 + 3b = 0

Add '-43' to each side of the equation.
43 + -43 + 3b = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 3b = 0 + -43
3b = 0 + -43

Combine like terms: 0 + -43 = -43
3b = -43

Divide each side by '3'.
b = -14.33333333

Simplifying
b = -14.33333333