3(2-3y)=-(y-2)

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

Simplifying
3(2 + -3y) = -1(y + -2)
(2 * 3 + -3y * 3) = -1(y + -2)
(6 + -9y) = -1(y + -2)

Reorder the terms:
6 + -9y = -1(-2 + y)
6 + -9y = (-2 * -1 + y * -1)
6 + -9y = (2 + -1y)

Solving
6 + -9y = 2 + -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 + -9y + y = 2 + -1y + y

Combine like terms: -9y + y = -8y
6 + -8y = 2 + -1y + y

Combine like terms: -1y + y = 0
6 + -8y = 2 + 0
6 + -8y = 2

Add '-6' to each side of the equation.
6 + -6 + -8y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 2 + -6
-8y = 2 + -6

Combine like terms: 2 + -6 = -4
-8y = -4

Divide each side by '-8'.
y = 0.5

Simplifying
y = 0.5