2(y-3)=-y

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

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

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

Solving
-6 + 2y = -1y

Solving for variable 'y'.

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

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

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

Combine like terms: -1y + y = 0
-6 + 3y = 0

Add '6' to each side of the equation.
-6 + 6 + 3y = 0 + 6

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

Combine like terms: 0 + 6 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2