.5[b+6]=1.5b-1

Solution for .5[b+6]=1.5b-1 equation:

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

Reorder the terms:
0.5[6 + b] = 1.5b + -1
[6 * 0.5 + b * 0.5] = 1.5b + -1
[3 + 0.5b] = 1.5b + -1

Reorder the terms:
3 + 0.5b = -1 + 1.5b

Solving
3 + 0.5b = -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.
3 + 0.5b + -1.5b = -1 + 1.5b + -1.5b

Combine like terms: 0.5b + -1.5b = -1b
3 + -1b = -1 + 1.5b + -1.5b

Combine like terms: 1.5b + -1.5b = 0.0
3 + -1b = -1 + 0.0
3 + -1b = -1

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

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

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

Divide each side by '-1'.
b = 4

Simplifying
b = 4