4(1-b)+3b=-2(b+1)

Solution for 4(1-b)+3b=-2(b+1) equation:

Simplifying
4(1 + -1b) + 3b = -2(b + 1)
(1 * 4 + -1b * 4) + 3b = -2(b + 1)
(4 + -4b) + 3b = -2(b + 1)

Combine like terms: -4b + 3b = -1b
4 + -1b = -2(b + 1)

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

Solving
4 + -1b = -2 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
4 + -1b + 2b = -2 + -2b + 2b

Combine like terms: -1b + 2b = 1b
4 + 1b = -2 + -2b + 2b

Combine like terms: -2b + 2b = 0
4 + 1b = -2 + 0
4 + 1b = -2

Add '-4' to each side of the equation.
4 + -4 + 1b = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1b = -2 + -4
1b = -2 + -4

Combine like terms: -2 + -4 = -6
1b = -6

Divide each side by '1'.
b = -6

Simplifying
b = -6