z(y+7)-6(y+7)=

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

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

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

Reorder the terms:
(yz + 7z) + -6(y + 7) = 0
(yz + 7z) + -6(y + 7) = 0

Reorder the terms:
yz + 7z + -6(7 + y) = 0
yz + 7z + (7 * -6 + y * -6) = 0
yz + 7z + (-42 + -6y) = 0

Reorder the terms:
-42 + -6y + yz + 7z = 0

Solving
-42 + -6y + yz + 7z = 0

Solving for variable 'y'.

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

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

Reorder the terms:
-42 + 42 + -6y + yz + 7z = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -6y + yz + 7z = 0 + 42
-6y + yz + 7z = 0 + 42

Combine like terms: 0 + 42 = 42
-6y + yz + 7z = 42

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

Combine like terms: 7z + -7z = 0
-6y + yz + 0 = 42 + -7z
-6y + yz = 42 + -7z

Reorder the terms:
-42 + -6y + yz + 7z = 42 + -7z + -42 + 7z

Reorder the terms:
-42 + -6y + yz + 7z = 42 + -42 + -7z + 7z

Combine like terms: 42 + -42 = 0
-42 + -6y + yz + 7z = 0 + -7z + 7z
-42 + -6y + yz + 7z = -7z + 7z

Combine like terms: -7z + 7z = 0
-42 + -6y + yz + 7z = 0

The solution to this equation could not be determined.