Y-(-5)=-2(x-(-3))

Solution for Y-(-5)=-2(x-(-3)) equation:

Simplifying
Y + -1(-5) = -2(x + -1(-3))

Multiply -1 * -5
Y + 5 = -2(x + -1(-3))

Reorder the terms:
5 + Y = -2(x + -1(-3))

Multiply -1 * -3
5 + Y = -2(x + 3)

Reorder the terms:
5 + Y = -2(3 + x)
5 + Y = (3 * -2 + x * -2)
5 + Y = (-6 + -2x)

Solving
5 + Y = -6 + -2x

Solving for variable 'Y'.

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

Add '-5' to each side of the equation.
5 + -5 + Y = -6 + -5 + -2x

Combine like terms: 5 + -5 = 0
0 + Y = -6 + -5 + -2x
Y = -6 + -5 + -2x

Combine like terms: -6 + -5 = -11
Y = -11 + -2x

Simplifying
Y = -11 + -2x