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

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

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

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

Remove parenthesis around (-1 + b)
-1 + b + -1(3b + -4) = b

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

Reorder the terms:
-1 + 4 + b + -3b = b

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

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

Solving
3 + -2b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
3 + -2b + -1b = b + -1b

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

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

Add '-3' to each side of the equation.
3 + -3 + -3b = 0 + -3

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

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

Divide each side by '-3'.
b = 1

Simplifying
b = 1