-0.75y^2+5=-22

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Solution for -0.75y^2+5=-22 equation:


Simplifying
-0.75y2 + 5 = -22

Reorder the terms:
5 + -0.75y2 = -22

Solving
5 + -0.75y2 = -22

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -0.75y2 = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -0.75y2 = -22 + -5
-0.75y2 = -22 + -5

Combine like terms: -22 + -5 = -27
-0.75y2 = -27

Divide each side by '-0.75'.
y2 = 36

Simplifying
y2 = 36

Take the square root of each side:
y = {-6, 6}

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