Z(y+6)-7(y+6)=0

Solution for Z(y+6)-7(y+6)=0 equation:

Simplifying
Z(y + 6) + -7(y + 6) = 0

Reorder the terms:
Z(6 + y) + -7(y + 6) = 0
(6 * Z + y * Z) + -7(y + 6) = 0
(6Z + yZ) + -7(y + 6) = 0

Reorder the terms:
6Z + yZ + -7(6 + y) = 0
6Z + yZ + (6 * -7 + y * -7) = 0
6Z + yZ + (-42 + -7y) = 0

Reorder the terms:
-42 + 6Z + -7y + yZ = 0

Solving
-42 + 6Z + -7y + yZ = 0

Solving for variable 'Z'.

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

Add '42' to each side of the equation.
-42 + 6Z + -7y + 42 + yZ = 0 + 42

Reorder the terms:
-42 + 42 + 6Z + -7y + yZ = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6Z + -7y + yZ = 0 + 42
6Z + -7y + yZ = 0 + 42

Combine like terms: 0 + 42 = 42
6Z + -7y + yZ = 42

Add '7y' to each side of the equation.
6Z + -7y + 7y + yZ = 42 + 7y

Combine like terms: -7y + 7y = 0
6Z + 0 + yZ = 42 + 7y
6Z + yZ = 42 + 7y

Reorder the terms:
-42 + 6Z + -7y + yZ = 42 + 7y + -42 + -7y

Reorder the terms:
-42 + 6Z + -7y + yZ = 42 + -42 + 7y + -7y

Combine like terms: 42 + -42 = 0
-42 + 6Z + -7y + yZ = 0 + 7y + -7y
-42 + 6Z + -7y + yZ = 7y + -7y

Combine like terms: 7y + -7y = 0
-42 + 6Z + -7y + yZ = 0

The solution to this equation could not be determined.