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Simplifying
24y2 + -4 = 16y2 + 14
Reorder the terms:
-4 + 24y2 = 16y2 + 14
Reorder the terms:
-4 + 24y2 = 14 + 16y2
Solving
-4 + 24y2 = 14 + 16y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-16y2' to each side of the equation.
-4 + 24y2 + -16y2 = 14 + 16y2 + -16y2
Combine like terms: 24y2 + -16y2 = 8y2
-4 + 8y2 = 14 + 16y2 + -16y2
Combine like terms: 16y2 + -16y2 = 0
-4 + 8y2 = 14 + 0
-4 + 8y2 = 14
Add '4' to each side of the equation.
-4 + 4 + 8y2 = 14 + 4
Combine like terms: -4 + 4 = 0
0 + 8y2 = 14 + 4
8y2 = 14 + 4
Combine like terms: 14 + 4 = 18
8y2 = 18
Divide each side by '8'.
y2 = 2.25
Simplifying
y2 = 2.25
Take the square root of each side:
y = {-1.5, 1.5}
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