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

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

Simplifying
(Y + -6)(y + 9) = 5y

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

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

Multiply (-6 + Y) * (9 + y)
(-6(9 + y) + Y(9 + y)) = 5y
((9 * -6 + y * -6) + Y(9 + y)) = 5y
((-54 + -6y) + Y(9 + y)) = 5y
(-54 + -6y + (9 * Y + y * Y)) = 5y
(-54 + -6y + (9Y + yY)) = 5y

Reorder the terms:
(-54 + 9Y + -6y + yY) = 5y
(-54 + 9Y + -6y + yY) = 5y

Solving
-54 + 9Y + -6y + yY = 5y

Solving for variable 'Y'.

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

Add '54' to each side of the equation.
-54 + 9Y + -6y + 54 + yY = 54 + 5y

Reorder the terms:
-54 + 54 + 9Y + -6y + yY = 54 + 5y

Combine like terms: -54 + 54 = 0
0 + 9Y + -6y + yY = 54 + 5y
9Y + -6y + yY = 54 + 5y

Add '6y' to each side of the equation.
9Y + -6y + 6y + yY = 54 + 5y + 6y

Combine like terms: -6y + 6y = 0
9Y + 0 + yY = 54 + 5y + 6y
9Y + yY = 54 + 5y + 6y

Combine like terms: 5y + 6y = 11y
9Y + yY = 54 + 11y

Reorder the terms:
-54 + 9Y + -11y + yY = 54 + 11y + -54 + -11y

Reorder the terms:
-54 + 9Y + -11y + yY = 54 + -54 + 11y + -11y

Combine like terms: 54 + -54 = 0
-54 + 9Y + -11y + yY = 0 + 11y + -11y
-54 + 9Y + -11y + yY = 11y + -11y

Combine like terms: 11y + -11y = 0
-54 + 9Y + -11y + yY = 0

The solution to this equation could not be determined.