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Simplifying
5y2 + 3 = 248
Reorder the terms:
3 + 5y2 = 248
Solving
3 + 5y2 = 248
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 5y2 = 248 + -3
Combine like terms: 3 + -3 = 0
0 + 5y2 = 248 + -3
5y2 = 248 + -3
Combine like terms: 248 + -3 = 245
5y2 = 245
Divide each side by '5'.
y2 = 49
Simplifying
y2 = 49
Take the square root of each side:
y = {-7, 7}
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