-4(-5-b)=1-3(b+16)

Solution for -4(-5-b)=1-3(b+16) equation:

Simplifying
-4(-5 + -1b) = 1 + -3(b + 16)
(-5 * -4 + -1b * -4) = 1 + -3(b + 16)
(20 + 4b) = 1 + -3(b + 16)

Reorder the terms:
20 + 4b = 1 + -3(16 + b)
20 + 4b = 1 + (16 * -3 + b * -3)
20 + 4b = 1 + (-48 + -3b)

Combine like terms: 1 + -48 = -47
20 + 4b = -47 + -3b

Solving
20 + 4b = -47 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
20 + 4b + 3b = -47 + -3b + 3b

Combine like terms: 4b + 3b = 7b
20 + 7b = -47 + -3b + 3b

Combine like terms: -3b + 3b = 0
20 + 7b = -47 + 0
20 + 7b = -47

Add '-20' to each side of the equation.
20 + -20 + 7b = -47 + -20

Combine like terms: 20 + -20 = 0
0 + 7b = -47 + -20
7b = -47 + -20

Combine like terms: -47 + -20 = -67
7b = -67

Divide each side by '7'.
b = -9.571428571

Simplifying
b = -9.571428571