2y+3=-1(x-3)

Solution for 2y+3=-1(x-3) equation:

Simplifying
2y + 3 = -1(x + -3)

Reorder the terms:
3 + 2y = -1(x + -3)

Reorder the terms:
3 + 2y = -1(-3 + x)
3 + 2y = (-3 * -1 + x * -1)
3 + 2y = (3 + -1x)

Add '-3' to each side of the equation.
3 + -3 + 2y = 3 + -3 + -1x

Combine like terms: 3 + -3 = 0
0 + 2y = 3 + -3 + -1x
2y = 3 + -3 + -1x

Combine like terms: 3 + -3 = 0
2y = 0 + -1x
2y = -1x

Solving
2y = -1x

Solving for variable 'y'.

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

Divide each side by '2'.
y = -0.5x

Simplifying
y = -0.5x