28=(1.5y*y)+1

Solution for 28=(1.5y*y)+1 equation:

Simplifying
28 = (1.5y * y) + 1

Multiply y * y
28 = (1.5y2) + 1

Reorder the terms:
28 = 1 + (1.5y2)

Solving
28 = 1 + (1.5y2)

Solving for variable 'y'.

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

Add '(-1.5y2)' to each side of the equation.
28 + (-1.5y2) = 1 + (1.5y2) + (-1.5y2)

Combine like terms: (1.5y2) + (-1.5y2) = 0.0
28 + (-1.5y2) = 1 + 0.0
28 + (-1.5y2) = 1

Add '-28' to each side of the equation.
28 + -28 + (-1.5y2) = 1 + -28

Combine like terms: 28 + -28 = 0
0 + (-1.5y2) = 1 + -28
(-1.5y2) = 1 + -28

Combine like terms: 1 + -28 = -27
(-1.5y2) = -27

Divide each side by '-1.5'.
y2 = 18

Simplifying
y2 = 18

Take the square root of each side:
y = {-4.242640687, 4.242640687}