6y+14=3(y+8)

Solution for 6y+14=3(y+8) equation:

Simplifying
6y + 14 = 3(y + 8)

Reorder the terms:
14 + 6y = 3(y + 8)

Reorder the terms:
14 + 6y = 3(8 + y)
14 + 6y = (8 * 3 + y * 3)
14 + 6y = (24 + 3y)

Solving
14 + 6y = 24 + 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.
14 + 6y + -3y = 24 + 3y + -3y

Combine like terms: 6y + -3y = 3y
14 + 3y = 24 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + 3y = 24 + 0
14 + 3y = 24

Add '-14' to each side of the equation.
14 + -14 + 3y = 24 + -14

Combine like terms: 14 + -14 = 0
0 + 3y = 24 + -14
3y = 24 + -14

Combine like terms: 24 + -14 = 10
3y = 10

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333