y+6=-4(x+4)

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

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

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

Reorder the terms:
6 + y = -4(4 + x)
6 + y = (4 * -4 + x * -4)
6 + y = (-16 + -4x)

Solving
6 + y = -16 + -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 = -16 + -6 + -4x

Combine like terms: 6 + -6 = 0
0 + y = -16 + -6 + -4x
y = -16 + -6 + -4x

Combine like terms: -16 + -6 = -22
y = -22 + -4x

Simplifying
y = -22 + -4x