(10-3)-((1b)-3)=a

Solution for (10-3)-((1b)-3)=a equation:

Simplifying
(10 + -3) + -1((1b) + -3) = a

Combine like terms: 10 + -3 = 7
(7) + -1((1b) + -3) = a
7 + -1((1b) + -3) = a

Reorder the terms:
7 + -1(-3 + (1b)) = a
7 + (-3 * -1 + (1b) * -1) = a
7 + (3 + -1b) = a

Combine like terms: 7 + 3 = 10
10 + -1b = a

Solving
10 + -1b = a

Solving for variable 'b'.

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

Add '-10' to each side of the equation.
10 + -10 + -1b = -10 + a

Combine like terms: 10 + -10 = 0
0 + -1b = -10 + a
-1b = -10 + a

Divide each side by '-1'.
b = 10 + -1a

Simplifying
b = 10 + -1a