y-6=-2(x-(-4))

Solution for y-6=-2(x-(-4)) equation:

Simplifying
y + -6 = -2(x + -1(-4))

Reorder the terms:
-6 + y = -2(x + -1(-4))

Multiply -1 * -4
-6 + y = -2(x + 4)

Reorder the terms:
-6 + y = -2(4 + x)
-6 + y = (4 * -2 + x * -2)
-6 + y = (-8 + -2x)

Solving
-6 + y = -8 + -2x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + y = -8 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + y = -8 + 6 + -2x
y = -8 + 6 + -2x

Combine like terms: -8 + 6 = -2
y = -2 + -2x

Simplifying
y = -2 + -2x