y-(-6)=-2(x-(-1))

Solution for y-(-6)=-2(x-(-1)) equation:

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

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

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

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

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

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

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

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

Simplifying
y = -8 + -2x