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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 1 + 6 = 7
2x = 7 + -1y

Divide each side by '2'.
x = 3.5 + -0.5y

Simplifying
x = 3.5 + -0.5y