(2z-1)(z+6)-(2z-1)(z-5)=y

Solution for (2z-1)(z+6)-(2z-1)(z-5)=y equation:

Simplifying
(2z + -1)(z + 6) + -1(2z + -1)(z + -5) = y

Reorder the terms:
(-1 + 2z)(z + 6) + -1(2z + -1)(z + -5) = y

Reorder the terms:
(-1 + 2z)(6 + z) + -1(2z + -1)(z + -5) = y

Multiply (-1 + 2z) * (6 + z)
(-1(6 + z) + 2z * (6 + z)) + -1(2z + -1)(z + -5) = y
((6 * -1 + z * -1) + 2z * (6 + z)) + -1(2z + -1)(z + -5) = y
((-6 + -1z) + 2z * (6 + z)) + -1(2z + -1)(z + -5) = y
(-6 + -1z + (6 * 2z + z * 2z)) + -1(2z + -1)(z + -5) = y
(-6 + -1z + (12z + 2z2)) + -1(2z + -1)(z + -5) = y

Combine like terms: -1z + 12z = 11z
(-6 + 11z + 2z2) + -1(2z + -1)(z + -5) = y

Reorder the terms:
-6 + 11z + 2z2 + -1(-1 + 2z)(z + -5) = y

Reorder the terms:
-6 + 11z + 2z2 + -1(-1 + 2z)(-5 + z) = y

Multiply (-1 + 2z) * (-5 + z)
-6 + 11z + 2z2 + -1(-1(-5 + z) + 2z * (-5 + z)) = y
-6 + 11z + 2z2 + -1((-5 * -1 + z * -1) + 2z * (-5 + z)) = y
-6 + 11z + 2z2 + -1((5 + -1z) + 2z * (-5 + z)) = y
-6 + 11z + 2z2 + -1(5 + -1z + (-5 * 2z + z * 2z)) = y
-6 + 11z + 2z2 + -1(5 + -1z + (-10z + 2z2)) = y

Combine like terms: -1z + -10z = -11z
-6 + 11z + 2z2 + -1(5 + -11z + 2z2) = y
-6 + 11z + 2z2 + (5 * -1 + -11z * -1 + 2z2 * -1) = y
-6 + 11z + 2z2 + (-5 + 11z + -2z2) = y

Reorder the terms:
-6 + -5 + 11z + 11z + 2z2 + -2z2 = y

Combine like terms: -6 + -5 = -11
-11 + 11z + 11z + 2z2 + -2z2 = y

Combine like terms: 11z + 11z = 22z
-11 + 22z + 2z2 + -2z2 = y

Combine like terms: 2z2 + -2z2 = 0
-11 + 22z + 0 = y
-11 + 22z = y

Solving
-11 + 22z = y

Solving for variable 'z'.

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

Add '11' to each side of the equation.
-11 + 11 + 22z = 11 + y

Combine like terms: -11 + 11 = 0
0 + 22z = 11 + y
22z = 11 + y

Divide each side by '22'.
z = 0.5 + 0.04545454545y

Simplifying
z = 0.5 + 0.04545454545y