(6-y)-(3+y)=43

Solution for (6-y)-(3+y)=43 equation:

Simplifying
(6 + -1y) + -1(3 + y) = 43

Remove parenthesis around (6 + -1y)
6 + -1y + -1(3 + y) = 43
6 + -1y + (3 * -1 + y * -1) = 43
6 + -1y + (-3 + -1y) = 43

Reorder the terms:
6 + -3 + -1y + -1y = 43

Combine like terms: 6 + -3 = 3
3 + -1y + -1y = 43

Combine like terms: -1y + -1y = -2y
3 + -2y = 43

Solving
3 + -2y = 43

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -2y = 43 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 43 + -3
-2y = 43 + -3

Combine like terms: 43 + -3 = 40
-2y = 40

Divide each side by '-2'.
y = -20

Simplifying
y = -20