(8y-15)=y^2

Solution for (8y-15)=y^2 equation:

Simplifying
(8y + -15) = y2

Reorder the terms:
(-15 + 8y) = y2

Remove parenthesis around (-15 + 8y)
-15 + 8y = y2

Solving
-15 + 8y = y2

Solving for variable 'y'.

Combine like terms: y2 + -1y2 = 0
-15 + 8y + -1y2 = 0

Factor a trinomial.
(-5 + y)(3 + -1y) = 0

Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve:

Simplifying
-5 + y = 0

Solving
-5 + y = 0

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

Add '5' to each side of the equation.
-5 + 5 + y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + y = 0 + 5
y = 0 + 5

Combine like terms: 0 + 5 = 5
y = 5

Simplifying
y = 5
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {5, 3}