5y+6-9y=(6+y)z

Solution for 5y+6-9y=(6+y)z equation:

Simplifying
5y + 6 + -9y = (6 + y) * z

Reorder the terms:
6 + 5y + -9y = (6 + y) * z

Combine like terms: 5y + -9y = -4y
6 + -4y = (6 + y) * z

Reorder the terms for easier multiplication:
6 + -4y = z(6 + y)
6 + -4y = (6 * z + y * z)

Reorder the terms:
6 + -4y = (yz + 6z)
6 + -4y = (yz + 6z)

Solving
6 + -4y = yz + 6z

Solving for variable 'y'.

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

Add '-1yz' to each side of the equation.
6 + -4y + -1yz = yz + -1yz + 6z

Combine like terms: yz + -1yz = 0
6 + -4y + -1yz = 0 + 6z
6 + -4y + -1yz = 6z

Add '-6' to each side of the equation.
6 + -4y + -6 + -1yz = -6 + 6z

Reorder the terms:
6 + -6 + -4y + -1yz = -6 + 6z

Combine like terms: 6 + -6 = 0
0 + -4y + -1yz = -6 + 6z
-4y + -1yz = -6 + 6z

Reorder the terms:
6 + -4y + -1yz + -6z = -6 + 6z + 6 + -6z

Reorder the terms:
6 + -4y + -1yz + -6z = -6 + 6 + 6z + -6z

Combine like terms: -6 + 6 = 0
6 + -4y + -1yz + -6z = 0 + 6z + -6z
6 + -4y + -1yz + -6z = 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -4y + -1yz + -6z = 0

The solution to this equation could not be determined.