y(y+18)=16(y-1)

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Solution for y(y+18)=16(y-1) equation:


Simplifying
y(y + 18) = 16(y + -1)

Reorder the terms:
y(18 + y) = 16(y + -1)
(18 * y + y * y) = 16(y + -1)
(18y + y2) = 16(y + -1)

Reorder the terms:
18y + y2 = 16(-1 + y)
18y + y2 = (-1 * 16 + y * 16)
18y + y2 = (-16 + 16y)

Solving
18y + y2 = -16 + 16y

Solving for variable 'y'.

Reorder the terms:
16 + 18y + -16y + y2 = -16 + 16y + 16 + -16y

Combine like terms: 18y + -16y = 2y
16 + 2y + y2 = -16 + 16y + 16 + -16y

Reorder the terms:
16 + 2y + y2 = -16 + 16 + 16y + -16y

Combine like terms: -16 + 16 = 0
16 + 2y + y2 = 0 + 16y + -16y
16 + 2y + y2 = 16y + -16y

Combine like terms: 16y + -16y = 0
16 + 2y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 2y + -16 + y2 = 0 + -16

Reorder the terms:
16 + -16 + 2y + y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 2y + y2 = 0 + -16
2y + y2 = 0 + -16

Combine like terms: 0 + -16 = -16
2y + y2 = -16

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -16 + 1

Reorder the terms:
1 + 2y + y2 = -16 + 1

Combine like terms: -16 + 1 = -15
1 + 2y + y2 = -15

Factor a perfect square on the left side:
(y + 1)(y + 1) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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