4y^2+2y-1=3y^2+2y+8

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Solution for 4y^2+2y-1=3y^2+2y+8 equation: 


Simplifying
4y2 + 2y + -1 = 3y2 + 2y + 8

Reorder the terms:
-1 + 2y + 4y2 = 3y2 + 2y + 8

Reorder the terms:
-1 + 2y + 4y2 = 8 + 2y + 3y2

Add '-2y' to each side of the equation.
-1 + 2y + -2y + 4y2 = 8 + 2y + -2y + 3y2

Combine like terms: 2y + -2y = 0
-1 + 0 + 4y2 = 8 + 2y + -2y + 3y2
-1 + 4y2 = 8 + 2y + -2y + 3y2

Combine like terms: 2y + -2y = 0
-1 + 4y2 = 8 + 0 + 3y2
-1 + 4y2 = 8 + 3y2

Solving
-1 + 4y2 = 8 + 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 + 4y2 + -3y2 = 8 + 3y2 + -3y2

Combine like terms: 4y2 + -3y2 = 1y2
-1 + 1y2 = 8 + 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-1 + 1y2 = 8 + 0
-1 + 1y2 = 8

Add '1' to each side of the equation.
-1 + 1 + 1y2 = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 1y2 = 8 + 1
1y2 = 8 + 1

Combine like terms: 8 + 1 = 9
1y2 = 9

Divide each side by '1'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}

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