y+6=-2(x-5)

Solution for y+6=-2(x-5) equation:

Simplifying
y + 6 = -2(x + -5)

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

Reorder the terms:
6 + y = -2(-5 + x)
6 + y = (-5 * -2 + x * -2)
6 + y = (10 + -2x)

Solving
6 + y = 10 + -2x

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 = 10 + -6 + -2x

Combine like terms: 6 + -6 = 0
0 + y = 10 + -6 + -2x
y = 10 + -6 + -2x

Combine like terms: 10 + -6 = 4
y = 4 + -2x

Simplifying
y = 4 + -2x