100=(y^2+9)+(4y^2+4)

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Solution for 100=(y^2+9)+(4y^2+4) equation: 


Simplifying
100 = (y2 + 9) + (4y2 + 4)

Reorder the terms:
100 = (9 + y2) + (4y2 + 4)

Remove parenthesis around (9 + y2)
100 = 9 + y2 + (4y2 + 4)

Reorder the terms:
100 = 9 + y2 + (4 + 4y2)

Remove parenthesis around (4 + 4y2)
100 = 9 + y2 + 4 + 4y2

Reorder the terms:
100 = 9 + 4 + y2 + 4y2

Combine like terms: 9 + 4 = 13
100 = 13 + y2 + 4y2

Combine like terms: y2 + 4y2 = 5y2
100 = 13 + 5y2

Solving
100 = 13 + 5y2

Solving for variable 'y'.

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

Add '-5y2' to each side of the equation.
100 + -5y2 = 13 + 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
100 + -5y2 = 13 + 0
100 + -5y2 = 13

Add '-100' to each side of the equation.
100 + -100 + -5y2 = 13 + -100

Combine like terms: 100 + -100 = 0
0 + -5y2 = 13 + -100
-5y2 = 13 + -100

Combine like terms: 13 + -100 = -87
-5y2 = -87

Divide each side by '-5'.
y2 = 17.4

Simplifying
y2 = 17.4

Take the square root of each side:
y = {-4.171330723, 4.171330723}

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