0.6(b-6)=0.9b+1.5-0.9+0.03

Solution for 0.6(b-6)=0.9b+1.5-0.9+0.03 equation:

Simplifying
0.6(b + -6) = 0.9b + 1.5 + -0.9 + 0.03

Reorder the terms:
0.6(-6 + b) = 0.9b + 1.5 + -0.9 + 0.03
(-6 * 0.6 + b * 0.6) = 0.9b + 1.5 + -0.9 + 0.03
(-3.6 + 0.6b) = 0.9b + 1.5 + -0.9 + 0.03

Reorder the terms:
-3.6 + 0.6b = 1.5 + -0.9 + 0.03 + 0.9b

Combine like terms: 1.5 + -0.9 = 0.6
-3.6 + 0.6b = 0.6 + 0.03 + 0.9b

Combine like terms: 0.6 + 0.03 = 0.63
-3.6 + 0.6b = 0.63 + 0.9b

Solving
-3.6 + 0.6b = 0.63 + 0.9b

Solving for variable 'b'.

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

Add '-0.9b' to each side of the equation.
-3.6 + 0.6b + -0.9b = 0.63 + 0.9b + -0.9b

Combine like terms: 0.6b + -0.9b = -0.3b
-3.6 + -0.3b = 0.63 + 0.9b + -0.9b

Combine like terms: 0.9b + -0.9b = 0.0
-3.6 + -0.3b = 0.63 + 0.0
-3.6 + -0.3b = 0.63

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -0.3b = 0.63 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -0.3b = 0.63 + 3.6
-0.3b = 0.63 + 3.6

Combine like terms: 0.63 + 3.6 = 4.23
-0.3b = 4.23

Divide each side by '-0.3'.
b = -14.1

Simplifying
b = -14.1