(Y-5)(y+5)=7y

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Solution for (Y-5)(y+5)=7y equation:


Simplifying
(Y + -5)(y + 5) = 7y

Reorder the terms:
(-5 + Y)(y + 5) = 7y

Reorder the terms:
(-5 + Y)(5 + y) = 7y

Multiply (-5 + Y) * (5 + y)
(-5(5 + y) + Y(5 + y)) = 7y
((5 * -5 + y * -5) + Y(5 + y)) = 7y
((-25 + -5y) + Y(5 + y)) = 7y
(-25 + -5y + (5 * Y + y * Y)) = 7y
(-25 + -5y + (5Y + yY)) = 7y

Reorder the terms:
(-25 + 5Y + -5y + yY) = 7y
(-25 + 5Y + -5y + yY) = 7y

Solving
-25 + 5Y + -5y + yY = 7y

Solving for variable 'Y'.

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

Add '25' to each side of the equation.
-25 + 5Y + -5y + 25 + yY = 25 + 7y

Reorder the terms:
-25 + 25 + 5Y + -5y + yY = 25 + 7y

Combine like terms: -25 + 25 = 0
0 + 5Y + -5y + yY = 25 + 7y
5Y + -5y + yY = 25 + 7y

Add '5y' to each side of the equation.
5Y + -5y + 5y + yY = 25 + 7y + 5y

Combine like terms: -5y + 5y = 0
5Y + 0 + yY = 25 + 7y + 5y
5Y + yY = 25 + 7y + 5y

Combine like terms: 7y + 5y = 12y
5Y + yY = 25 + 12y

Reorder the terms:
-25 + 5Y + -12y + yY = 25 + 12y + -25 + -12y

Reorder the terms:
-25 + 5Y + -12y + yY = 25 + -25 + 12y + -12y

Combine like terms: 25 + -25 = 0
-25 + 5Y + -12y + yY = 0 + 12y + -12y
-25 + 5Y + -12y + yY = 12y + -12y

Combine like terms: 12y + -12y = 0
-25 + 5Y + -12y + yY = 0

The solution to this equation could not be determined.

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