y+6=.5(x-10)

Solution for y+6=.5(x-10) equation:

Simplifying
y + 6 = 0.5(x + -10)

Reorder the terms:
6 + y = 0.5(x + -10)

Reorder the terms:
6 + y = 0.5(-10 + x)
6 + y = (-10 * 0.5 + x * 0.5)
6 + y = (-5 + 0.5x)

Solving
6 + y = -5 + 0.5x

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 = -5 + -6 + 0.5x

Combine like terms: 6 + -6 = 0
0 + y = -5 + -6 + 0.5x
y = -5 + -6 + 0.5x

Combine like terms: -5 + -6 = -11
y = -11 + 0.5x

Simplifying
y = -11 + 0.5x