y^2-5y-8=-5y+1

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Solution for y^2-5y-8=-5y+1 equation:


Simplifying
y2 + -5y + -8 = -5y + 1

Reorder the terms:
-8 + -5y + y2 = -5y + 1

Reorder the terms:
-8 + -5y + y2 = 1 + -5y

Add '5y' to each side of the equation.
-8 + -5y + 5y + y2 = 1 + -5y + 5y

Combine like terms: -5y + 5y = 0
-8 + 0 + y2 = 1 + -5y + 5y
-8 + y2 = 1 + -5y + 5y

Combine like terms: -5y + 5y = 0
-8 + y2 = 1 + 0
-8 + y2 = 1

Solving
-8 + y2 = 1

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + y2 = 1 + 8

Combine like terms: -8 + 8 = 0
0 + y2 = 1 + 8
y2 = 1 + 8

Combine like terms: 1 + 8 = 9
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}

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