17y^2-y^2-16=0

Solution for 17y^2-y^2-16=0 equation:

Simplifying
17y2 + -1y2 + -16 = 0

Reorder the terms:
-16 + 17y2 + -1y2 = 0

Combine like terms: 17y2 + -1y2 = 16y2
-16 + 16y2 = 0

Solving
-16 + 16y2 = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 16y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 16y2 = 0 + 16
16y2 = 0 + 16

Combine like terms: 0 + 16 = 16
16y2 = 16

Divide each side by '16'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}