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

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

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

Reorder the terms:
6 + 3y = 5(1 + 2y)
6 + 3y = (1 * 5 + 2y * 5)
6 + 3y = (5 + 10y)

Solving
6 + 3y = 5 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
6 + 3y + -10y = 5 + 10y + -10y

Combine like terms: 3y + -10y = -7y
6 + -7y = 5 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + -7y = 5 + 0
6 + -7y = 5

Add '-6' to each side of the equation.
6 + -6 + -7y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 5 + -6
-7y = 5 + -6

Combine like terms: 5 + -6 = -1
-7y = -1

Divide each side by '-7'.
y = 0.1428571429

Simplifying
y = 0.1428571429