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

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

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

Reorder the terms:
-6 + 2y + 3y = 3 + y

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

Solving
-6 + 5y = 3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 5y + -1y = 3 + y + -1y

Combine like terms: 5y + -1y = 4y
-6 + 4y = 3 + y + -1y

Combine like terms: y + -1y = 0
-6 + 4y = 3 + 0
-6 + 4y = 3

Add '6' to each side of the equation.
-6 + 6 + 4y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 3 + 6
4y = 3 + 6

Combine like terms: 3 + 6 = 9
4y = 9

Divide each side by '4'.
y = 2.25

Simplifying
y = 2.25