4(y^2+2)=24

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Solution for 4(y^2+2)=24 equation:


Simplifying
4(y2 + 2) = 24

Reorder the terms:
4(2 + y2) = 24
(2 * 4 + y2 * 4) = 24
(8 + 4y2) = 24

Solving
8 + 4y2 = 24

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 4y2 = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4y2 = 24 + -8
4y2 = 24 + -8

Combine like terms: 24 + -8 = 16
4y2 = 16

Divide each side by '4'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}

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