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

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

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

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

Solving
6 + 2y = 10 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 2y + -6y = 10 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = 10 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = 10 + 0
6 + -4y = 10

Add '-6' to each side of the equation.
6 + -6 + -4y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = 10 + -6
-4y = 10 + -6

Combine like terms: 10 + -6 = 4
-4y = 4

Divide each side by '-4'.
y = -1

Simplifying
y = -1