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

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

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

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

Solving
1 + -4b = 3 + -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.
1 + -4b + 3b = 3 + -3b + 3b

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

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

Add '-1' to each side of the equation.
1 + -1 + -1b = 3 + -1

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

Combine like terms: 3 + -1 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2