y-1=-2(x-(-3))

Solution for y-1=-2(x-(-3)) equation:

Simplifying
y + -1 = -2(x + -1(-3))

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

Multiply -1 * -3
-1 + y = -2(x + 3)

Reorder the terms:
-1 + y = -2(3 + x)
-1 + y = (3 * -2 + x * -2)
-1 + y = (-6 + -2x)

Solving
-1 + y = -6 + -2x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y = -6 + 1 + -2x

Combine like terms: -1 + 1 = 0
0 + y = -6 + 1 + -2x
y = -6 + 1 + -2x

Combine like terms: -6 + 1 = -5
y = -5 + -2x

Simplifying
y = -5 + -2x