y+3=-6(x+1)

Solution for y+3=-6(x+1) equation:

Simplifying
y + 3 = -6(x + 1)

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

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

Solving
3 + y = -6 + -6x

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + y = -6 + -3 + -6x

Combine like terms: 3 + -3 = 0
0 + y = -6 + -3 + -6x
y = -6 + -3 + -6x

Combine like terms: -6 + -3 = -9
y = -9 + -6x

Simplifying
y = -9 + -6x