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

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

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

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

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

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

Solving
3 + Y = 4 + -4x

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 = 4 + -3 + -4x

Combine like terms: 3 + -3 = 0
0 + Y = 4 + -3 + -4x
Y = 4 + -3 + -4x

Combine like terms: 4 + -3 = 1
Y = 1 + -4x

Simplifying
Y = 1 + -4x