4y^2+2=102

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Solution for 4y^2+2=102 equation: 


Simplifying
4y2 + 2 = 102

Reorder the terms:
2 + 4y2 = 102

Solving
2 + 4y2 = 102

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 4y2 = 102 + -2

Combine like terms: 2 + -2 = 0
0 + 4y2 = 102 + -2
4y2 = 102 + -2

Combine like terms: 102 + -2 = 100
4y2 = 100

Divide each side by '4'.
y2 = 25

Simplifying
y2 = 25

Take the square root of each side:
y = {-5, 5}

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