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

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

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

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

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

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

Solving
-6 + y = -8 + -4x

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 + -4x

Combine like terms: -6 + 6 = 0
0 + y = -8 + 6 + -4x
y = -8 + 6 + -4x

Combine like terms: -8 + 6 = -2
y = -2 + -4x

Simplifying
y = -2 + -4x