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

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

Simplifying
3(2 + -1y) = 5(3 + -1y)
(2 * 3 + -1y * 3) = 5(3 + -1y)
(6 + -3y) = 5(3 + -1y)
6 + -3y = (3 * 5 + -1y * 5)
6 + -3y = (15 + -5y)

Solving
6 + -3y = 15 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6 + -3y + 5y = 15 + -5y + 5y

Combine like terms: -3y + 5y = 2y
6 + 2y = 15 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 2y = 15 + 0
6 + 2y = 15

Add '-6' to each side of the equation.
6 + -6 + 2y = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 15 + -6
2y = 15 + -6

Combine like terms: 15 + -6 = 9
2y = 9

Divide each side by '2'.
y = 4.5

Simplifying
y = 4.5