y+1=-2(x+3)

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

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

Reorder the terms:
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 = -7
y = -7 + -2x

Simplifying
y = -7 + -2x