2(3-y)=5(1-y)

Solution for 2(3-y)=5(1-y) equation:

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

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

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

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

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

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

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

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333