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Simplifying
10y2 + -7 = 74
Reorder the terms:
-7 + 10y2 = 74
Solving
-7 + 10y2 = 74
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 10y2 = 74 + 7
Combine like terms: -7 + 7 = 0
0 + 10y2 = 74 + 7
10y2 = 74 + 7
Combine like terms: 74 + 7 = 81
10y2 = 81
Divide each side by '10'.
y2 = 8.1
Simplifying
y2 = 8.1
Take the square root of each side:
y = {-2.846049894, 2.846049894}
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