1[b+6]=1.5b-1

Solution for 1[b+6]=1.5b-1 equation:

Simplifying
1[b + 6] = 1.5b + -1

Reorder the terms:
1[6 + b] = 1.5b + -1
[6 * 1 + b * 1] = 1.5b + -1
[6 + 1b] = 1.5b + -1

Reorder the terms:
6 + 1b = -1 + 1.5b

Solving
6 + 1b = -1 + 1.5b

Solving for variable 'b'.

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

Add '-1.5b' to each side of the equation.
6 + 1b + -1.5b = -1 + 1.5b + -1.5b

Combine like terms: 1b + -1.5b = -0.5b
6 + -0.5b = -1 + 1.5b + -1.5b

Combine like terms: 1.5b + -1.5b = 0.0
6 + -0.5b = -1 + 0.0
6 + -0.5b = -1

Add '-6' to each side of the equation.
6 + -6 + -0.5b = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5b = -1 + -6
-0.5b = -1 + -6

Combine like terms: -1 + -6 = -7
-0.5b = -7

Divide each side by '-0.5'.
b = 14

Simplifying
b = 14