(Y-3)(y-6)=6

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Solution for (Y-3)(y-6)=6 equation:


Simplifying
(Y + -3)(y + -6) = 6

Reorder the terms:
(-3 + Y)(y + -6) = 6

Reorder the terms:
(-3 + Y)(-6 + y) = 6

Multiply (-3 + Y) * (-6 + y)
(-3(-6 + y) + Y(-6 + y)) = 6
((-6 * -3 + y * -3) + Y(-6 + y)) = 6
((18 + -3y) + Y(-6 + y)) = 6
(18 + -3y + (-6 * Y + y * Y)) = 6
(18 + -3y + (-6Y + yY)) = 6

Reorder the terms:
(18 + -6Y + -3y + yY) = 6
(18 + -6Y + -3y + yY) = 6

Solving
18 + -6Y + -3y + yY = 6

Solving for variable 'Y'.

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

Add '-18' to each side of the equation.
18 + -6Y + -3y + -18 + yY = 6 + -18

Reorder the terms:
18 + -18 + -6Y + -3y + yY = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -6Y + -3y + yY = 6 + -18
-6Y + -3y + yY = 6 + -18

Combine like terms: 6 + -18 = -12
-6Y + -3y + yY = -12

Add '3y' to each side of the equation.
-6Y + -3y + 3y + yY = -12 + 3y

Combine like terms: -3y + 3y = 0
-6Y + 0 + yY = -12 + 3y
-6Y + yY = -12 + 3y

Reorder the terms:
12 + -6Y + -3y + yY = -12 + 3y + 12 + -3y

Reorder the terms:
12 + -6Y + -3y + yY = -12 + 12 + 3y + -3y

Combine like terms: -12 + 12 = 0
12 + -6Y + -3y + yY = 0 + 3y + -3y
12 + -6Y + -3y + yY = 3y + -3y

Combine like terms: 3y + -3y = 0
12 + -6Y + -3y + yY = 0

The solution to this equation could not be determined.

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