y-6=-4(x-(-1))

Solution for y-6=-4(x-(-1)) equation:

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

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

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

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

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

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

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

Simplifying
y = 2 + -4x