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Simplifying
4y2 + -16 + 7 = 0
Reorder the terms:
-16 + 7 + 4y2 = 0
Combine like terms: -16 + 7 = -9
-9 + 4y2 = 0
Solving
-9 + 4y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4y2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 4y2 = 0 + 9
4y2 = 0 + 9
Combine like terms: 0 + 9 = 9
4y2 = 9
Divide each side by '4'.
y2 = 2.25
Simplifying
y2 = 2.25
Take the square root of each side:
y = {-1.5, 1.5}
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