2(y-3)=3-(x+5)

Solution for 2(y-3)=3-(x+5) equation:

Simplifying
2(y + -3) = 3 + -1(x + 5)

Reorder the terms:
2(-3 + y) = 3 + -1(x + 5)
(-3 * 2 + y * 2) = 3 + -1(x + 5)
(-6 + 2y) = 3 + -1(x + 5)

Reorder the terms:
-6 + 2y = 3 + -1(5 + x)
-6 + 2y = 3 + (5 * -1 + x * -1)
-6 + 2y = 3 + (-5 + -1x)

Combine like terms: 3 + -5 = -2
-6 + 2y = -2 + -1x

Solving
-6 + 2y = -2 + -1x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 2y = -2 + 6 + -1x

Combine like terms: -6 + 6 = 0
0 + 2y = -2 + 6 + -1x
2y = -2 + 6 + -1x

Combine like terms: -2 + 6 = 4
2y = 4 + -1x

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

Simplifying
y = 2 + -0.5x