2(y+8)+4(y+4)=86

Solution for 2(y+8)+4(y+4)=86 equation:

Simplifying
2(y + 8) + 4(y + 4) = 86

Reorder the terms:
2(8 + y) + 4(y + 4) = 86
(8 * 2 + y * 2) + 4(y + 4) = 86
(16 + 2y) + 4(y + 4) = 86

Reorder the terms:
16 + 2y + 4(4 + y) = 86
16 + 2y + (4 * 4 + y * 4) = 86
16 + 2y + (16 + 4y) = 86

Reorder the terms:
16 + 16 + 2y + 4y = 86

Combine like terms: 16 + 16 = 32
32 + 2y + 4y = 86

Combine like terms: 2y + 4y = 6y
32 + 6y = 86

Solving
32 + 6y = 86

Solving for variable 'y'.

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

Add '-32' to each side of the equation.
32 + -32 + 6y = 86 + -32

Combine like terms: 32 + -32 = 0
0 + 6y = 86 + -32
6y = 86 + -32

Combine like terms: 86 + -32 = 54
6y = 54

Divide each side by '6'.
y = 9

Simplifying
y = 9