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Simplifying
5y2 + -4 = 74
Reorder the terms:
-4 + 5y2 = 74
Solving
-4 + 5y2 = 74
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 5y2 = 74 + 4
Combine like terms: -4 + 4 = 0
0 + 5y2 = 74 + 4
5y2 = 74 + 4
Combine like terms: 74 + 4 = 78
5y2 = 78
Divide each side by '5'.
y2 = 15.6
Simplifying
y2 = 15.6
Take the square root of each side:
y = {-3.949683532, 3.949683532}
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