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

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

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

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

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

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

Reorder the terms:
-4 + -36 + 19b + -18b = -2

Combine like terms: -4 + -36 = -40
-40 + 19b + -18b = -2

Combine like terms: 19b + -18b = 1b
-40 + 1b = -2

Solving
-40 + 1b = -2

Solving for variable 'b'.

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

Add '40' to each side of the equation.
-40 + 40 + 1b = -2 + 40

Combine like terms: -40 + 40 = 0
0 + 1b = -2 + 40
1b = -2 + 40

Combine like terms: -2 + 40 = 38
1b = 38

Divide each side by '1'.
b = 38

Simplifying
b = 38