5(4b-1)-4(b-3)=-57

Solution for 5(4b-1)-4(b-3)=-57 equation:

Simplifying
5(4b + -1) + -4(b + -3) = -57

Reorder the terms:
5(-1 + 4b) + -4(b + -3) = -57
(-1 * 5 + 4b * 5) + -4(b + -3) = -57
(-5 + 20b) + -4(b + -3) = -57

Reorder the terms:
-5 + 20b + -4(-3 + b) = -57
-5 + 20b + (-3 * -4 + b * -4) = -57
-5 + 20b + (12 + -4b) = -57

Reorder the terms:
-5 + 12 + 20b + -4b = -57

Combine like terms: -5 + 12 = 7
7 + 20b + -4b = -57

Combine like terms: 20b + -4b = 16b
7 + 16b = -57

Solving
7 + 16b = -57

Solving for variable 'b'.

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

Add '-7' to each side of the equation.
7 + -7 + 16b = -57 + -7

Combine like terms: 7 + -7 = 0
0 + 16b = -57 + -7
16b = -57 + -7

Combine like terms: -57 + -7 = -64
16b = -64

Divide each side by '16'.
b = -4

Simplifying
b = -4