y(y-2)-15=y(y+5)-3(y+5)

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Solution for y(y-2)-15=y(y+5)-3(y+5) equation: 


Simplifying
y(y + -2) + -15 = y(y + 5) + -3(y + 5)

Reorder the terms:
y(-2 + y) + -15 = y(y + 5) + -3(y + 5)
(-2 * y + y * y) + -15 = y(y + 5) + -3(y + 5)
(-2y + y2) + -15 = y(y + 5) + -3(y + 5)

Reorder the terms:
-15 + -2y + y2 = y(y + 5) + -3(y + 5)

Reorder the terms:
-15 + -2y + y2 = y(5 + y) + -3(y + 5)
-15 + -2y + y2 = (5 * y + y * y) + -3(y + 5)
-15 + -2y + y2 = (5y + y2) + -3(y + 5)

Reorder the terms:
-15 + -2y + y2 = 5y + y2 + -3(5 + y)
-15 + -2y + y2 = 5y + y2 + (5 * -3 + y * -3)
-15 + -2y + y2 = 5y + y2 + (-15 + -3y)

Reorder the terms:
-15 + -2y + y2 = -15 + 5y + -3y + y2

Combine like terms: 5y + -3y = 2y
-15 + -2y + y2 = -15 + 2y + y2

Add '15' to each side of the equation.
-15 + -2y + 15 + y2 = -15 + 2y + 15 + y2

Reorder the terms:
-15 + 15 + -2y + y2 = -15 + 2y + 15 + y2

Combine like terms: -15 + 15 = 0
0 + -2y + y2 = -15 + 2y + 15 + y2
-2y + y2 = -15 + 2y + 15 + y2

Reorder the terms:
-2y + y2 = -15 + 15 + 2y + y2

Combine like terms: -15 + 15 = 0
-2y + y2 = 0 + 2y + y2
-2y + y2 = 2y + y2

Add '-1y2' to each side of the equation.
-2y + y2 + -1y2 = 2y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2y + 0 = 2y + y2 + -1y2
-2y = 2y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2y = 2y + 0
-2y = 2y

Solving
-2y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-2y + -2y = 2y + -2y

Combine like terms: -2y + -2y = -4y
-4y = 2y + -2y

Combine like terms: 2y + -2y = 0
-4y = 0

Divide each side by '-4'.
y = 0

Simplifying
y = 0

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