3=.5*3+b

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

Simplifying
3 = 0.5 * 3 + b

Multiply 0.5 * 3
3 = 1.5 + b

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

Combine like terms: b + -1b = 0
3 + -1b = 1.5 + 0
3 + -1b = 1.5

Add '-3' to each side of the equation.
3 + -3 + -1b = 1.5 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 1.5 + -3
-1b = 1.5 + -3

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

Divide each side by '-1'.
b = 1.5

Simplifying
b = 1.5