2(3+y)=5(2y+8)

Solution for 2(3+y)=5(2y+8) equation:

Simplifying
2(3 + y) = 5(2y + 8)
(3 * 2 + y * 2) = 5(2y + 8)
(6 + 2y) = 5(2y + 8)

Reorder the terms:
6 + 2y = 5(8 + 2y)
6 + 2y = (8 * 5 + 2y * 5)
6 + 2y = (40 + 10y)

Solving
6 + 2y = 40 + 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 + 2y + -10y = 40 + 10y + -10y

Combine like terms: 2y + -10y = -8y
6 + -8y = 40 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + -8y = 40 + 0
6 + -8y = 40

Add '-6' to each side of the equation.
6 + -6 + -8y = 40 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 40 + -6
-8y = 40 + -6

Combine like terms: 40 + -6 = 34
-8y = 34

Divide each side by '-8'.
y = -4.25

Simplifying
y = -4.25