4(3y*y-76+4)=1

Solution for 4(3y*y-76+4)=1 equation:

Simplifying
4(3y * y + -76 + 4) = 1

Multiply y * y
4(3y2 + -76 + 4) = 1

Reorder the terms:
4(-76 + 4 + 3y2) = 1

Combine like terms: -76 + 4 = -72
4(-72 + 3y2) = 1
(-72 * 4 + 3y2 * 4) = 1
(-288 + 12y2) = 1

Solving
-288 + 12y2 = 1

Solving for variable 'y'.

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

Add '288' to each side of the equation.
-288 + 288 + 12y2 = 1 + 288

Combine like terms: -288 + 288 = 0
0 + 12y2 = 1 + 288
12y2 = 1 + 288

Combine like terms: 1 + 288 = 289
12y2 = 289

Divide each side by '12'.
y2 = 24.08333333

Simplifying
y2 = 24.08333333

Take the square root of each side:
y = {-4.907477288, 4.907477288}