Y^2-7=-3(5-2y)

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Solution for Y^2-7=-3(5-2y) equation:


Simplifying
Y2 + -7 = -3(5 + -2y)

Reorder the terms:
-7 + Y2 = -3(5 + -2y)
-7 + Y2 = (5 * -3 + -2y * -3)
-7 + Y2 = (-15 + 6y)

Solving
-7 + Y2 = -15 + 6y

Solving for variable 'Y'.

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

Add '7' to each side of the equation.
-7 + 7 + Y2 = -15 + 7 + 6y

Combine like terms: -7 + 7 = 0
0 + Y2 = -15 + 7 + 6y
Y2 = -15 + 7 + 6y

Combine like terms: -15 + 7 = -8
Y2 = -8 + 6y

Simplifying
Y2 = -8 + 6y

Reorder the terms:
8 + Y2 + -6y = -8 + 6y + 8 + -6y

Reorder the terms:
8 + Y2 + -6y = -8 + 8 + 6y + -6y

Combine like terms: -8 + 8 = 0
8 + Y2 + -6y = 0 + 6y + -6y
8 + Y2 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
8 + Y2 + -6y = 0

The solution to this equation could not be determined.

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