y-3=-1(x-(-6))

Solution for y-3=-1(x-(-6)) equation:

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

Reorder the terms:
-3 + y = -1(x + -1(-6))

Multiply -1 * -6
-3 + y = -1(x + 6)

Reorder the terms:
-3 + y = -1(6 + x)
-3 + y = (6 * -1 + x * -1)
-3 + y = (-6 + -1x)

Solving
-3 + y = -6 + -1x

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 + y = -6 + 3 + -1x

Combine like terms: -3 + 3 = 0
0 + y = -6 + 3 + -1x
y = -6 + 3 + -1x

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

Simplifying
y = -3 + -1x