2y*5y-5+6-5=15

Solution for 2y*5y-5+6-5=15 equation:

Simplifying
2y * 5y + -5 + 6 + -5 = 15

Reorder the terms for easier multiplication:
2 * 5y * y + -5 + 6 + -5 = 15

Multiply 2 * 5
10y * y + -5 + 6 + -5 = 15

Multiply y * y
10y2 + -5 + 6 + -5 = 15

Reorder the terms:
-5 + 6 + -5 + 10y2 = 15

Combine like terms: -5 + 6 = 1
1 + -5 + 10y2 = 15

Combine like terms: 1 + -5 = -4
-4 + 10y2 = 15

Solving
-4 + 10y2 = 15

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 10y2 = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 10y2 = 15 + 4
10y2 = 15 + 4

Combine like terms: 15 + 4 = 19
10y2 = 19

Divide each side by '10'.
y2 = 1.9

Simplifying
y2 = 1.9

Take the square root of each side:
y = {-1.378404875, 1.378404875}