y-(-1)=-3(x-(-4))

Solution for y-(-1)=-3(x-(-4)) equation:

Simplifying
y + -1(-1) = -3(x + -1(-4))

Multiply -1 * -1
y + 1 = -3(x + -1(-4))

Reorder the terms:
1 + y = -3(x + -1(-4))

Multiply -1 * -4
1 + y = -3(x + 4)

Reorder the terms:
1 + y = -3(4 + x)
1 + y = (4 * -3 + x * -3)
1 + y = (-12 + -3x)

Solving
1 + y = -12 + -3x

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 = -12 + -1 + -3x

Combine like terms: 1 + -1 = 0
0 + y = -12 + -1 + -3x
y = -12 + -1 + -3x

Combine like terms: -12 + -1 = -13
y = -13 + -3x

Simplifying
y = -13 + -3x