8z+2(3+2z)=3(6+2y)

Solution for 8z+2(3+2z)=3(6+2y) equation:

Simplifying
8z + 2(3 + 2z) = 3(6 + 2y)
8z + (3 * 2 + 2z * 2) = 3(6 + 2y)
8z + (6 + 4z) = 3(6 + 2y)

Reorder the terms:
6 + 8z + 4z = 3(6 + 2y)

Combine like terms: 8z + 4z = 12z
6 + 12z = 3(6 + 2y)
6 + 12z = (6 * 3 + 2y * 3)
6 + 12z = (18 + 6y)

Solving
6 + 12z = 18 + 6y

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 12z = 18 + -6 + 6y

Combine like terms: 6 + -6 = 0
0 + 12z = 18 + -6 + 6y
12z = 18 + -6 + 6y

Combine like terms: 18 + -6 = 12
12z = 12 + 6y

Divide each side by '12'.
z = 1 + 0.5y

Simplifying
z = 1 + 0.5y