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Simplifying
5(y2 + -76) = -81
Reorder the terms:
5(-76 + y2) = -81
(-76 * 5 + y2 * 5) = -81
(-380 + 5y2) = -81
Solving
-380 + 5y2 = -81
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '380' to each side of the equation.
-380 + 380 + 5y2 = -81 + 380
Combine like terms: -380 + 380 = 0
0 + 5y2 = -81 + 380
5y2 = -81 + 380
Combine like terms: -81 + 380 = 299
5y2 = 299
Divide each side by '5'.
y2 = 59.8
Simplifying
y2 = 59.8
Take the square root of each side:
y = {-7.733045972, 7.733045972}
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