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

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

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

Reorder the terms:
3(-2 + 3y) = 5(3y + 2)
(-2 * 3 + 3y * 3) = 5(3y + 2)
(-6 + 9y) = 5(3y + 2)

Reorder the terms:
-6 + 9y = 5(2 + 3y)
-6 + 9y = (2 * 5 + 3y * 5)
-6 + 9y = (10 + 15y)

Solving
-6 + 9y = 10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-6 + 9y + -15y = 10 + 15y + -15y

Combine like terms: 9y + -15y = -6y
-6 + -6y = 10 + 15y + -15y

Combine like terms: 15y + -15y = 0
-6 + -6y = 10 + 0
-6 + -6y = 10

Add '6' to each side of the equation.
-6 + 6 + -6y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -6y = 10 + 6
-6y = 10 + 6

Combine like terms: 10 + 6 = 16
-6y = 16

Divide each side by '-6'.
y = -2.666666667

Simplifying
y = -2.666666667