1=49-3y^2

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Solution for 1=49-3y^2 equation:


Simplifying
1 = 49 + -3y2

Solving
1 = 49 + -3y2

Solving for variable 'y'.

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

Add '3y2' to each side of the equation.
1 + 3y2 = 49 + -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
1 + 3y2 = 49 + 0
1 + 3y2 = 49

Add '-1' to each side of the equation.
1 + -1 + 3y2 = 49 + -1

Combine like terms: 1 + -1 = 0
0 + 3y2 = 49 + -1
3y2 = 49 + -1

Combine like terms: 49 + -1 = 48
3y2 = 48

Divide each side by '3'.
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}

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