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

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

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

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

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

Combine like terms: -3y + -5y = -8y
6 + -8y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -8y = 5 + 0
6 + -8y = 5

Add '-6' to each side of the equation.
6 + -6 + -8y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 5 + -6
-8y = 5 + -6

Combine like terms: 5 + -6 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125