(Y-1)(2y+3)=6y

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Solution for (Y-1)(2y+3)=6y equation:


Simplifying
(Y + -1)(2y + 3) = 6y

Reorder the terms:
(-1 + Y)(2y + 3) = 6y

Reorder the terms:
(-1 + Y)(3 + 2y) = 6y

Multiply (-1 + Y) * (3 + 2y)
(-1(3 + 2y) + Y(3 + 2y)) = 6y
((3 * -1 + 2y * -1) + Y(3 + 2y)) = 6y
((-3 + -2y) + Y(3 + 2y)) = 6y
(-3 + -2y + (3 * Y + 2y * Y)) = 6y
(-3 + -2y + (3Y + 2yY)) = 6y

Reorder the terms:
(-3 + 3Y + -2y + 2yY) = 6y
(-3 + 3Y + -2y + 2yY) = 6y

Solving
-3 + 3Y + -2y + 2yY = 6y

Solving for variable 'Y'.

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

Add '3' to each side of the equation.
-3 + 3Y + -2y + 3 + 2yY = 3 + 6y

Reorder the terms:
-3 + 3 + 3Y + -2y + 2yY = 3 + 6y

Combine like terms: -3 + 3 = 0
0 + 3Y + -2y + 2yY = 3 + 6y
3Y + -2y + 2yY = 3 + 6y

Add '2y' to each side of the equation.
3Y + -2y + 2y + 2yY = 3 + 6y + 2y

Combine like terms: -2y + 2y = 0
3Y + 0 + 2yY = 3 + 6y + 2y
3Y + 2yY = 3 + 6y + 2y

Combine like terms: 6y + 2y = 8y
3Y + 2yY = 3 + 8y

Reorder the terms:
-3 + 3Y + -8y + 2yY = 3 + 8y + -3 + -8y

Reorder the terms:
-3 + 3Y + -8y + 2yY = 3 + -3 + 8y + -8y

Combine like terms: 3 + -3 = 0
-3 + 3Y + -8y + 2yY = 0 + 8y + -8y
-3 + 3Y + -8y + 2yY = 8y + -8y

Combine like terms: 8y + -8y = 0
-3 + 3Y + -8y + 2yY = 0

The solution to this equation could not be determined.

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