1[b+6]=3b-1

Solution for 1[b+6]=3b-1 equation:

Simplifying
1[b + 6] = 3b + -1

Reorder the terms:
1[6 + b] = 3b + -1
[6 * 1 + b * 1] = 3b + -1
[6 + 1b] = 3b + -1

Reorder the terms:
6 + 1b = -1 + 3b

Solving
6 + 1b = -1 + 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.
6 + 1b + -3b = -1 + 3b + -3b

Combine like terms: 1b + -3b = -2b
6 + -2b = -1 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + -2b = -1 + 0
6 + -2b = -1

Add '-6' to each side of the equation.
6 + -6 + -2b = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -2b = -1 + -6
-2b = -1 + -6

Combine like terms: -1 + -6 = -7
-2b = -7

Divide each side by '-2'.
b = 3.5

Simplifying
b = 3.5