-[y(y)2]=y(y)-5-2y(y)

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Solution for -[y(y)2]=y(y)-5-2y(y) equation:


Simplifying
-1[y(y) * 2] = y(y) + -5 + -2y(y)

Reorder the terms for easier multiplication:
-1[2y * y] = y(y) + -5 + -2y(y)

Multiply y * y
-1[2y2] = y(y) + -5 + -2y(y)

Remove brackets around [2y2]
-1 * 2y2 = y(y) + -5 + -2y(y)

Multiply -1 * 2
-2y2 = y(y) + -5 + -2y(y)

Multiply y * y
-2y2 = y2 + -5 + -2y(y)

Multiply y * y
-2y2 = y2 + -5 + -2y2

Reorder the terms:
-2y2 = -5 + y2 + -2y2

Combine like terms: y2 + -2y2 = -1y2
-2y2 = -5 + -1y2

Solving
-2y2 = -5 + -1y2

Solving for variable 'y'.

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

Add 'y2' to each side of the equation.
-2y2 + y2 = -5 + -1y2 + y2

Combine like terms: -2y2 + y2 = -1y2
-1y2 = -5 + -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-1y2 = -5 + 0
-1y2 = -5

Divide each side by '-1'.
y2 = 5

Simplifying
y2 = 5

Take the square root of each side:
y = {-2.236067978, 2.236067978}

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