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

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

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

Reorder the terms:
2(3 + y) = 8(3y)
(3 * 2 + y * 2) = 8(3y)
(6 + 2y) = 8(3y)

Remove parenthesis around (3y)
6 + 2y = 8 * 3y

Multiply 8 * 3
6 + 2y = 24y

Solving
6 + 2y = 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
6 + 2y + -24y = 24y + -24y

Combine like terms: 2y + -24y = -22y
6 + -22y = 24y + -24y

Combine like terms: 24y + -24y = 0
6 + -22y = 0

Add '-6' to each side of the equation.
6 + -6 + -22y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -22y = 0 + -6
-22y = 0 + -6

Combine like terms: 0 + -6 = -6
-22y = -6

Divide each side by '-22'.
y = 0.2727272727

Simplifying
y = 0.2727272727