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 = 3
y = 3 + -6x

Simplifying
y = 3 + -6x