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Simplifying
4y2 + 10 = 42
Reorder the terms:
10 + 4y2 = 42
Solving
10 + 4y2 = 42
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 4y2 = 42 + -10
Combine like terms: 10 + -10 = 0
0 + 4y2 = 42 + -10
4y2 = 42 + -10
Combine like terms: 42 + -10 = 32
4y2 = 32
Divide each side by '4'.
y2 = 8
Simplifying
y2 = 8
Take the square root of each side:
y = {-2.828427125, 2.828427125}
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