y+3=-2(x-3)

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

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

Reorder the terms:
3 + y = -2(x + -3)

Reorder the terms:
3 + y = -2(-3 + x)
3 + y = (-3 * -2 + x * -2)
3 + y = (6 + -2x)

Solving
3 + y = 6 + -2x

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 + -2x

Combine like terms: 3 + -3 = 0
0 + y = 6 + -3 + -2x
y = 6 + -3 + -2x

Combine like terms: 6 + -3 = 3
y = 3 + -2x

Simplifying
y = 3 + -2x