8y+2(y+6)=32

Solution for 8y+2(y+6)=32 equation:

Simplifying
8y + 2(y + 6) = 32

Reorder the terms:
8y + 2(6 + y) = 32
8y + (6 * 2 + y * 2) = 32
8y + (12 + 2y) = 32

Reorder the terms:
12 + 8y + 2y = 32

Combine like terms: 8y + 2y = 10y
12 + 10y = 32

Solving
12 + 10y = 32

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 10y = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 10y = 32 + -12
10y = 32 + -12

Combine like terms: 32 + -12 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2