0.5(4z+6)+10.6=0.6(4z-y)

Solution for 0.5(4z+6)+10.6=0.6(4z-y) equation:

Simplifying
0.5(4z + 6) + 10.6 = 0.6(4z + -1y)

Reorder the terms:
0.5(6 + 4z) + 10.6 = 0.6(4z + -1y)
(6 * 0.5 + 4z * 0.5) + 10.6 = 0.6(4z + -1y)
(3 + 2z) + 10.6 = 0.6(4z + -1y)

Reorder the terms:
3 + 10.6 + 2z = 0.6(4z + -1y)

Combine like terms: 3 + 10.6 = 13.6
13.6 + 2z = 0.6(4z + -1y)

Reorder the terms:
13.6 + 2z = 0.6(-1y + 4z)
13.6 + 2z = (-1y * 0.6 + 4z * 0.6)
13.6 + 2z = (-0.6y + 2.4z)

Solving
13.6 + 2z = -0.6y + 2.4z

Solving for variable 'z'.

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

Add '-2.4z' to each side of the equation.
13.6 + 2z + -2.4z = -0.6y + 2.4z + -2.4z

Combine like terms: 2z + -2.4z = -0.4z
13.6 + -0.4z = -0.6y + 2.4z + -2.4z

Combine like terms: 2.4z + -2.4z = 0.0
13.6 + -0.4z = -0.6y + 0.0
13.6 + -0.4z = -0.6y

Add '-13.6' to each side of the equation.
13.6 + -13.6 + -0.4z = -13.6 + -0.6y

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + -0.4z = -13.6 + -0.6y
-0.4z = -13.6 + -0.6y

Divide each side by '-0.4'.
z = 34 + 1.5y

Simplifying
z = 34 + 1.5y