3(2+y)-4y=y+16

Solution for 3(2+y)-4y=y+16 equation:

Simplifying
3(2 + y) + -4y = y + 16
(2 * 3 + y * 3) + -4y = y + 16
(6 + 3y) + -4y = y + 16

Combine like terms: 3y + -4y = -1y
6 + -1y = y + 16

Reorder the terms:
6 + -1y = 16 + y

Solving
6 + -1y = 16 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + -1y + -1y = 16 + y + -1y

Combine like terms: -1y + -1y = -2y
6 + -2y = 16 + y + -1y

Combine like terms: y + -1y = 0
6 + -2y = 16 + 0
6 + -2y = 16

Add '-6' to each side of the equation.
6 + -6 + -2y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 16 + -6
-2y = 16 + -6

Combine like terms: 16 + -6 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5