55-6(3b-1)=-1

Solution for 55-6(3b-1)=-1 equation:

Simplifying
55 + -6(3b + -1) = -1

Reorder the terms:
55 + -6(-1 + 3b) = -1
55 + (-1 * -6 + 3b * -6) = -1
55 + (6 + -18b) = -1

Combine like terms: 55 + 6 = 61
61 + -18b = -1

Solving
61 + -18b = -1

Solving for variable 'b'.

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

Add '-61' to each side of the equation.
61 + -61 + -18b = -1 + -61

Combine like terms: 61 + -61 = 0
0 + -18b = -1 + -61
-18b = -1 + -61

Combine like terms: -1 + -61 = -62
-18b = -62

Divide each side by '-18'.
b = 3.444444444

Simplifying
b = 3.444444444