4(y+8)=2y

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

Simplifying
4(y + 8) = 2y

Reorder the terms:
4(8 + y) = 2y
(8 * 4 + y * 4) = 2y
(32 + 4y) = 2y

Solving
32 + 4y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
32 + 4y + -2y = 2y + -2y

Combine like terms: 4y + -2y = 2y
32 + 2y = 2y + -2y

Combine like terms: 2y + -2y = 0
32 + 2y = 0

Add '-32' to each side of the equation.
32 + -32 + 2y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = 0 + -32
2y = 0 + -32

Combine like terms: 0 + -32 = -32
2y = -32

Divide each side by '2'.
y = -16

Simplifying
y = -16