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

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

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

Reorder the terms:
3(-1 + b) + -2(3b + -2) = 4
(-1 * 3 + b * 3) + -2(3b + -2) = 4
(-3 + 3b) + -2(3b + -2) = 4

Reorder the terms:
-3 + 3b + -2(-2 + 3b) = 4
-3 + 3b + (-2 * -2 + 3b * -2) = 4
-3 + 3b + (4 + -6b) = 4

Reorder the terms:
-3 + 4 + 3b + -6b = 4

Combine like terms: -3 + 4 = 1
1 + 3b + -6b = 4

Combine like terms: 3b + -6b = -3b
1 + -3b = 4

Solving
1 + -3b = 4

Solving for variable 'b'.

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

Add '-1' to each side of the equation.
1 + -1 + -3b = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 4 + -1
-3b = 4 + -1

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

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

Simplifying
b = -1