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

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

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

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

Reorder the terms:
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 = -14
y = -14 + 2x

Simplifying
y = -14 + 2x