(37b-6)-9(4b+4)=6

Solution for (37b-6)-9(4b+4)=6 equation:

Simplifying
(37b + -6) + -9(4b + 4) = 6

Reorder the terms:
(-6 + 37b) + -9(4b + 4) = 6

Remove parenthesis around (-6 + 37b)
-6 + 37b + -9(4b + 4) = 6

Reorder the terms:
-6 + 37b + -9(4 + 4b) = 6
-6 + 37b + (4 * -9 + 4b * -9) = 6
-6 + 37b + (-36 + -36b) = 6

Reorder the terms:
-6 + -36 + 37b + -36b = 6

Combine like terms: -6 + -36 = -42
-42 + 37b + -36b = 6

Combine like terms: 37b + -36b = 1b
-42 + 1b = 6

Solving
-42 + 1b = 6

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 = 6 + 42

Combine like terms: -42 + 42 = 0
0 + 1b = 6 + 42
1b = 6 + 42

Combine like terms: 6 + 42 = 48
1b = 48

Divide each side by '1'.
b = 48

Simplifying
b = 48