4(b+4)+b=4(b-1)-2

Solution for 4(b+4)+b=4(b-1)-2 equation:

Simplifying
4(b + 4) + b = 4(b + -1) + -2

Reorder the terms:
4(4 + b) + b = 4(b + -1) + -2
(4 * 4 + b * 4) + b = 4(b + -1) + -2
(16 + 4b) + b = 4(b + -1) + -2

Combine like terms: 4b + b = 5b
16 + 5b = 4(b + -1) + -2

Reorder the terms:
16 + 5b = 4(-1 + b) + -2
16 + 5b = (-1 * 4 + b * 4) + -2
16 + 5b = (-4 + 4b) + -2

Reorder the terms:
16 + 5b = -4 + -2 + 4b

Combine like terms: -4 + -2 = -6
16 + 5b = -6 + 4b

Solving
16 + 5b = -6 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
16 + 5b + -4b = -6 + 4b + -4b

Combine like terms: 5b + -4b = 1b
16 + 1b = -6 + 4b + -4b

Combine like terms: 4b + -4b = 0
16 + 1b = -6 + 0
16 + 1b = -6

Add '-16' to each side of the equation.
16 + -16 + 1b = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 1b = -6 + -16
1b = -6 + -16

Combine like terms: -6 + -16 = -22
1b = -22

Divide each side by '1'.
b = -22

Simplifying
b = -22