9y*2y+1=9

Solution for 9y*2y+1=9 equation:

Simplifying
9y * 2y + 1 = 9

Reorder the terms for easier multiplication:
9 * 2y * y + 1 = 9

Multiply 9 * 2
18y * y + 1 = 9

Multiply y * y
18y2 + 1 = 9

Reorder the terms:
1 + 18y2 = 9

Solving
1 + 18y2 = 9

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 18y2 = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 18y2 = 9 + -1
18y2 = 9 + -1

Combine like terms: 9 + -1 = 8
18y2 = 8

Divide each side by '18'.
y2 = 0.4444444444

Simplifying
y2 = 0.4444444444

Take the square root of each side:
y = {-0.666666667, 0.666666667}