y-3=-(x+3)

Solution for y-3=-(x+3) equation:

Simplifying
y + -3 = -1(x + 3)

Reorder the terms:
-3 + y = -1(x + 3)

Reorder the terms:
-3 + y = -1(3 + x)
-3 + y = (3 * -1 + x * -1)
-3 + y = (-3 + -1x)

Add '3' to each side of the equation.
-3 + 3 + y = -3 + 3 + -1x

Combine like terms: -3 + 3 = 0
0 + y = -3 + 3 + -1x
y = -3 + 3 + -1x

Combine like terms: -3 + 3 = 0
y = 0 + -1x
y = -1x

Solving
y = -1x

Solving for variable 'y'.

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

Simplifying
y = -1x