2(y-3)=5-3y

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

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

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

Solving
-6 + 2y = 5 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-6 + 2y + 3y = 5 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
-6 + 5y = 5 + 0
-6 + 5y = 5

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

Combine like terms: -6 + 6 = 0
0 + 5y = 5 + 6
5y = 5 + 6

Combine like terms: 5 + 6 = 11
5y = 11

Divide each side by '5'.
y = 2.2

Simplifying
y = 2.2