(19b-6)-9(2b+4)=-2

Solution for (19b-6)-9(2b+4)=-2 equation:

Simplifying
(19b + -6) + -9(2b + 4) = -2

Reorder the terms:
(-6 + 19b) + -9(2b + 4) = -2

Remove parenthesis around (-6 + 19b)
-6 + 19b + -9(2b + 4) = -2

Reorder the terms:
-6 + 19b + -9(4 + 2b) = -2
-6 + 19b + (4 * -9 + 2b * -9) = -2
-6 + 19b + (-36 + -18b) = -2

Reorder the terms:
-6 + -36 + 19b + -18b = -2

Combine like terms: -6 + -36 = -42
-42 + 19b + -18b = -2

Combine like terms: 19b + -18b = 1b
-42 + 1b = -2

Solving
-42 + 1b = -2

Solving for variable 'b'.

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

Add '42' to each side of the equation.
-42 + 42 + 1b = -2 + 42

Combine like terms: -42 + 42 = 0
0 + 1b = -2 + 42
1b = -2 + 42

Combine like terms: -2 + 42 = 40
1b = 40

Divide each side by '1'.
b = 40

Simplifying
b = 40