6(1+y)=3(3-y)

Solution for 6(1+y)=3(3-y) equation:

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

Solving
6 + 6y = 9 + -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 + 6y + 3y = 9 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
6 + 9y = 9 + 0
6 + 9y = 9

Add '-6' to each side of the equation.
6 + -6 + 9y = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 9 + -6
9y = 9 + -6

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

Divide each side by '9'.
y = 0.3333333333

Simplifying
y = 0.3333333333