0.6(b-6)=0.09b+1.5-0.03b

Solution for 0.6(b-6)=0.09b+1.5-0.03b equation:

Simplifying
0.6(b + -6) = 0.09b + 1.5 + -0.03b

Reorder the terms:
0.6(-6 + b) = 0.09b + 1.5 + -0.03b
(-6 * 0.6 + b * 0.6) = 0.09b + 1.5 + -0.03b
(-3.6 + 0.6b) = 0.09b + 1.5 + -0.03b

Reorder the terms:
-3.6 + 0.6b = 1.5 + 0.09b + -0.03b

Combine like terms: 0.09b + -0.03b = 0.06b
-3.6 + 0.6b = 1.5 + 0.06b

Solving
-3.6 + 0.6b = 1.5 + 0.06b

Solving for variable 'b'.

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

Add '-0.06b' to each side of the equation.
-3.6 + 0.6b + -0.06b = 1.5 + 0.06b + -0.06b

Combine like terms: 0.6b + -0.06b = 0.54b
-3.6 + 0.54b = 1.5 + 0.06b + -0.06b

Combine like terms: 0.06b + -0.06b = 0.00
-3.6 + 0.54b = 1.5 + 0.00
-3.6 + 0.54b = 1.5

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 0.54b = 1.5 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 0.54b = 1.5 + 3.6
0.54b = 1.5 + 3.6

Combine like terms: 1.5 + 3.6 = 5.1
0.54b = 5.1

Divide each side by '0.54'.
b = 9.444444444

Simplifying
b = 9.444444444