(y-3)(y-3)=2y-10

Solution for (y-3)(y-3)=2y-10 equation:

Simplifying
(y + -3)(y + -3) = 2y + -10

Reorder the terms:
(-3 + y)(y + -3) = 2y + -10

Reorder the terms:
(-3 + y)(-3 + y) = 2y + -10

Multiply (-3 + y) * (-3 + y)
(-3(-3 + y) + y(-3 + y)) = 2y + -10
((-3 * -3 + y * -3) + y(-3 + y)) = 2y + -10
((9 + -3y) + y(-3 + y)) = 2y + -10
(9 + -3y + (-3 * y + y * y)) = 2y + -10
(9 + -3y + (-3y + y2)) = 2y + -10

Combine like terms: -3y + -3y = -6y
(9 + -6y + y2) = 2y + -10

Reorder the terms:
9 + -6y + y2 = -10 + 2y

Solving
9 + -6y + y2 = -10 + 2y

Solving for variable 'y'.

Reorder the terms:
9 + 10 + -6y + -2y + y2 = -10 + 2y + 10 + -2y

Combine like terms: 9 + 10 = 19
19 + -6y + -2y + y2 = -10 + 2y + 10 + -2y

Combine like terms: -6y + -2y = -8y
19 + -8y + y2 = -10 + 2y + 10 + -2y

Reorder the terms:
19 + -8y + y2 = -10 + 10 + 2y + -2y

Combine like terms: -10 + 10 = 0
19 + -8y + y2 = 0 + 2y + -2y
19 + -8y + y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
19 + -8y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -8y + -19 + y2 = 0 + -19

Reorder the terms:
19 + -19 + -8y + y2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -8y + y2 = 0 + -19
-8y + y2 = 0 + -19

Combine like terms: 0 + -19 = -19
-8y + y2 = -19

The y term is -8y.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8y + 16 + y2 = -19 + 16

Reorder the terms:
16 + -8y + y2 = -19 + 16

Combine like terms: -19 + 16 = -3
16 + -8y + y2 = -3

Factor a perfect square on the left side:
(y + -4)(y + -4) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.