2z(6-2y)=2(z+2)-10

Solution for 2z(6-2y)=2(z+2)-10 equation:

Simplifying
2z(6 + -2y) = 2(z + 2) + -10
(6 * 2z + -2y * 2z) = 2(z + 2) + -10

Reorder the terms:
(-4yz + 12z) = 2(z + 2) + -10
(-4yz + 12z) = 2(z + 2) + -10

Reorder the terms:
-4yz + 12z = 2(2 + z) + -10
-4yz + 12z = (2 * 2 + z * 2) + -10
-4yz + 12z = (4 + 2z) + -10

Reorder the terms:
-4yz + 12z = 4 + -10 + 2z

Combine like terms: 4 + -10 = -6
-4yz + 12z = -6 + 2z

Solving
-4yz + 12z = -6 + 2z

Solving for variable 'y'.

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

Add '-12z' to each side of the equation.
-4yz + 12z + -12z = -6 + 2z + -12z

Combine like terms: 12z + -12z = 0
-4yz + 0 = -6 + 2z + -12z
-4yz = -6 + 2z + -12z

Combine like terms: 2z + -12z = -10z
-4yz = -6 + -10z

Divide each side by '-4z'.
y = 1.5z-1 + 2.5

Simplifying
y = 1.5z-1 + 2.5

Reorder the terms:
y = 2.5 + 1.5z-1