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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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