(y-3)(y-3)=(y+4)(y+4)

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Solution for (y-3)(y-3)=(y+4)(y+4) equation: 


Simplifying
(y + -3)(y + -3) = (y + 4)(y + 4)

Reorder the terms:
(-3 + y)(y + -3) = (y + 4)(y + 4)

Reorder the terms:
(-3 + y)(-3 + y) = (y + 4)(y + 4)

Multiply (-3 + y) * (-3 + y)
(-3(-3 + y) + y(-3 + y)) = (y + 4)(y + 4)
((-3 * -3 + y * -3) + y(-3 + y)) = (y + 4)(y + 4)
((9 + -3y) + y(-3 + y)) = (y + 4)(y + 4)
(9 + -3y + (-3 * y + y * y)) = (y + 4)(y + 4)
(9 + -3y + (-3y + y2)) = (y + 4)(y + 4)

Combine like terms: -3y + -3y = -6y
(9 + -6y + y2) = (y + 4)(y + 4)

Reorder the terms:
9 + -6y + y2 = (4 + y)(y + 4)

Reorder the terms:
9 + -6y + y2 = (4 + y)(4 + y)

Multiply (4 + y) * (4 + y)
9 + -6y + y2 = (4(4 + y) + y(4 + y))
9 + -6y + y2 = ((4 * 4 + y * 4) + y(4 + y))
9 + -6y + y2 = ((16 + 4y) + y(4 + y))
9 + -6y + y2 = (16 + 4y + (4 * y + y * y))
9 + -6y + y2 = (16 + 4y + (4y + y2))

Combine like terms: 4y + 4y = 8y
9 + -6y + y2 = (16 + 8y + y2)

Add '-1y2' to each side of the equation.
9 + -6y + y2 + -1y2 = 16 + 8y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
9 + -6y + 0 = 16 + 8y + y2 + -1y2
9 + -6y = 16 + 8y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
9 + -6y = 16 + 8y + 0
9 + -6y = 16 + 8y

Solving
9 + -6y = 16 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
9 + -6y + -8y = 16 + 8y + -8y

Combine like terms: -6y + -8y = -14y
9 + -14y = 16 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -14y = 16 + 0
9 + -14y = 16

Add '-9' to each side of the equation.
9 + -9 + -14y = 16 + -9

Combine like terms: 9 + -9 = 0
0 + -14y = 16 + -9
-14y = 16 + -9

Combine like terms: 16 + -9 = 7
-14y = 7

Divide each side by '-14'.
y = -0.5

Simplifying
y = -0.5

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