Y(y-12)+y(y+2)+25=2y(y+5)-15

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Solution for Y(y-12)+y(y+2)+25=2y(y+5)-15 equation: 


Simplifying
Y(y + -12) + y(y + 2) + 25 = 2y(y + 5) + -15

Reorder the terms:
Y(-12 + y) + y(y + 2) + 25 = 2y(y + 5) + -15
(-12 * Y + y * Y) + y(y + 2) + 25 = 2y(y + 5) + -15
(-12Y + yY) + y(y + 2) + 25 = 2y(y + 5) + -15

Reorder the terms:
-12Y + yY + y(2 + y) + 25 = 2y(y + 5) + -15
-12Y + yY + (2 * y + y * y) + 25 = 2y(y + 5) + -15
-12Y + yY + (2y + y2) + 25 = 2y(y + 5) + -15

Reorder the terms:
25 + -12Y + 2y + yY + y2 = 2y(y + 5) + -15

Reorder the terms:
25 + -12Y + 2y + yY + y2 = 2y(5 + y) + -15
25 + -12Y + 2y + yY + y2 = (5 * 2y + y * 2y) + -15
25 + -12Y + 2y + yY + y2 = (10y + 2y2) + -15

Reorder the terms:
25 + -12Y + 2y + yY + y2 = -15 + 10y + 2y2

Solving
25 + -12Y + 2y + yY + y2 = -15 + 10y + 2y2

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 + -12Y + 2y + yY + -25 + y2 = -15 + 10y + -25 + 2y2

Reorder the terms:
25 + -25 + -12Y + 2y + yY + y2 = -15 + 10y + -25 + 2y2

Combine like terms: 25 + -25 = 0
0 + -12Y + 2y + yY + y2 = -15 + 10y + -25 + 2y2
-12Y + 2y + yY + y2 = -15 + 10y + -25 + 2y2

Reorder the terms:
-12Y + 2y + yY + y2 = -15 + -25 + 10y + 2y2

Combine like terms: -15 + -25 = -40
-12Y + 2y + yY + y2 = -40 + 10y + 2y2

Add '-2y' to each side of the equation.
-12Y + 2y + yY + -2y + y2 = -40 + 10y + -2y + 2y2

Reorder the terms:
-12Y + 2y + -2y + yY + y2 = -40 + 10y + -2y + 2y2

Combine like terms: 2y + -2y = 0
-12Y + 0 + yY + y2 = -40 + 10y + -2y + 2y2
-12Y + yY + y2 = -40 + 10y + -2y + 2y2

Combine like terms: 10y + -2y = 8y
-12Y + yY + y2 = -40 + 8y + 2y2

Add '-1y2' to each side of the equation.
-12Y + yY + y2 + -1y2 = -40 + 8y + 2y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-12Y + yY + 0 = -40 + 8y + 2y2 + -1y2
-12Y + yY = -40 + 8y + 2y2 + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-12Y + yY = -40 + 8y + 1y2

Reorder the terms:
40 + -12Y + -8y + yY + -1y2 = -40 + 8y + 1y2 + 40 + -8y + -1y2

Reorder the terms:
40 + -12Y + -8y + yY + -1y2 = -40 + 40 + 8y + -8y + 1y2 + -1y2

Combine like terms: -40 + 40 = 0
40 + -12Y + -8y + yY + -1y2 = 0 + 8y + -8y + 1y2 + -1y2
40 + -12Y + -8y + yY + -1y2 = 8y + -8y + 1y2 + -1y2

Combine like terms: 8y + -8y = 0
40 + -12Y + -8y + yY + -1y2 = 0 + 1y2 + -1y2
40 + -12Y + -8y + yY + -1y2 = 1y2 + -1y2

Combine like terms: 1y2 + -1y2 = 0
40 + -12Y + -8y + yY + -1y2 = 0

The solution to this equation could not be determined.

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