5(1)+4y(6y)=41

Solution for 5(1)+4y(6y)=41 equation:

Simplifying
5(1) + 4y(6y) = 41

Multiply 5 * 1
5 + 4y(6y) = 41

Remove parenthesis around (6y)
5 + 4y * 6y = 41

Reorder the terms for easier multiplication:
5 + 4 * 6y * y = 41

Multiply 4 * 6
5 + 24y * y = 41

Multiply y * y
5 + 24y2 = 41

Solving
5 + 24y2 = 41

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 24y2 = 41 + -5

Combine like terms: 5 + -5 = 0
0 + 24y2 = 41 + -5
24y2 = 41 + -5

Combine like terms: 41 + -5 = 36
24y2 = 36

Divide each side by '24'.
y2 = 1.5

Simplifying
y2 = 1.5

Take the square root of each side:
y = {-1.224744871, 1.224744871}