.5=-.5*-3+b

Solution for .5=-.5*-3+b equation:

Simplifying
0.5 = -0.5 * -3 + b

Multiply -0.5 * -3
0.5 = 1.5 + b

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

Combine like terms: b + -1b = 0
0.5 + -1b = 1.5 + 0
0.5 + -1b = 1.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1b = 1.5 + -0.5

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

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

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

Simplifying
b = -1