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Simplifying
4y2 + -32 = 292
Reorder the terms:
-32 + 4y2 = 292
Solving
-32 + 4y2 = 292
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 4y2 = 292 + 32
Combine like terms: -32 + 32 = 0
0 + 4y2 = 292 + 32
4y2 = 292 + 32
Combine like terms: 292 + 32 = 324
4y2 = 324
Divide each side by '4'.
y2 = 81
Simplifying
y2 = 81
Take the square root of each side:
y = {-9, 9}
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