2(y-3)+4y+8=3(y+6)

Solution for 2(y-3)+4y+8=3(y+6) equation:

Simplifying
2(y + -3) + 4y + 8 = 3(y + 6)

Reorder the terms:
2(-3 + y) + 4y + 8 = 3(y + 6)
(-3 * 2 + y * 2) + 4y + 8 = 3(y + 6)
(-6 + 2y) + 4y + 8 = 3(y + 6)

Reorder the terms:
-6 + 8 + 2y + 4y = 3(y + 6)

Combine like terms: -6 + 8 = 2
2 + 2y + 4y = 3(y + 6)

Combine like terms: 2y + 4y = 6y
2 + 6y = 3(y + 6)

Reorder the terms:
2 + 6y = 3(6 + y)
2 + 6y = (6 * 3 + y * 3)
2 + 6y = (18 + 3y)

Solving
2 + 6y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 6y + -3y = 18 + 3y + -3y

Combine like terms: 6y + -3y = 3y
2 + 3y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 3y = 18 + 0
2 + 3y = 18

Add '-2' to each side of the equation.
2 + -2 + 3y = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 18 + -2
3y = 18 + -2

Combine like terms: 18 + -2 = 16
3y = 16

Divide each side by '3'.
y = 5.333333333

Simplifying
y = 5.333333333