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

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

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

Reorder the terms:
2(3 + y) = 3(5 + -1y)
(3 * 2 + y * 2) = 3(5 + -1y)
(6 + 2y) = 3(5 + -1y)
6 + 2y = (5 * 3 + -1y * 3)
6 + 2y = (15 + -3y)

Solving
6 + 2y = 15 + -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 = 15 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
6 + 5y = 15 + 0
6 + 5y = 15

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

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

Combine like terms: 15 + -6 = 9
5y = 9

Divide each side by '5'.
y = 1.8

Simplifying
y = 1.8