Y-(-5)=0.5(x-(-8))

Solution for Y-(-5)=0.5(x-(-8)) equation:

Simplifying
Y + -1(-5) = 0.5(x + -1(-8))

Multiply -1 * -5
Y + 5 = 0.5(x + -1(-8))

Reorder the terms:
5 + Y = 0.5(x + -1(-8))

Multiply -1 * -8
5 + Y = 0.5(x + 8)

Reorder the terms:
5 + Y = 0.5(8 + x)
5 + Y = (8 * 0.5 + x * 0.5)
5 + Y = (4 + 0.5x)

Solving
5 + Y = 4 + 0.5x

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 = 4 + -5 + 0.5x

Combine like terms: 5 + -5 = 0
0 + Y = 4 + -5 + 0.5x
Y = 4 + -5 + 0.5x

Combine like terms: 4 + -5 = -1
Y = -1 + 0.5x

Simplifying
Y = -1 + 0.5x