y-(-2)=-5(x-(-4))

Solution for y-(-2)=-5(x-(-4)) equation:

Simplifying
y + -1(-2) = -5(x + -1(-4))

Multiply -1 * -2
y + 2 = -5(x + -1(-4))

Reorder the terms:
2 + y = -5(x + -1(-4))

Multiply -1 * -4
2 + y = -5(x + 4)

Reorder the terms:
2 + y = -5(4 + x)
2 + y = (4 * -5 + x * -5)
2 + y = (-20 + -5x)

Solving
2 + y = -20 + -5x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + y = -20 + -2 + -5x

Combine like terms: 2 + -2 = 0
0 + y = -20 + -2 + -5x
y = -20 + -2 + -5x

Combine like terms: -20 + -2 = -22
y = -22 + -5x

Simplifying
y = -22 + -5x