y+6=-2(x-1)

Solution for y+6=-2(x-1) equation:

Simplifying
y + 6 = -2(x + -1)

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

Reorder the terms:
6 + y = -2(-1 + x)
6 + y = (-1 * -2 + x * -2)
6 + y = (2 + -2x)

Solving
6 + y = 2 + -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 = 2 + -6 + -2x

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

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

Simplifying
y = -4 + -2x