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Simplifying
3y2 + -10 = 17
Reorder the terms:
-10 + 3y2 = 17
Solving
-10 + 3y2 = 17
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 3y2 = 17 + 10
Combine like terms: -10 + 10 = 0
0 + 3y2 = 17 + 10
3y2 = 17 + 10
Combine like terms: 17 + 10 = 27
3y2 = 27
Divide each side by '3'.
y2 = 9
Simplifying
y2 = 9
Take the square root of each side:
y = {-3, 3}
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