4y^2-59=62

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Solution for 4y^2-59=62 equation:


Simplifying
4y2 + -59 = 62

Reorder the terms:
-59 + 4y2 = 62

Solving
-59 + 4y2 = 62

Solving for variable 'y'.

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

Add '59' to each side of the equation.
-59 + 59 + 4y2 = 62 + 59

Combine like terms: -59 + 59 = 0
0 + 4y2 = 62 + 59
4y2 = 62 + 59

Combine like terms: 62 + 59 = 121
4y2 = 121

Divide each side by '4'.
y2 = 30.25

Simplifying
y2 = 30.25

Take the square root of each side:
y = {-5.5, 5.5}

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