(y-4)y=60

Solution for (y-4)y=60 equation:

Simplifying
(y + -4) * y = 60

Reorder the terms:
(-4 + y) * y = 60

Reorder the terms for easier multiplication:
y(-4 + y) = 60
(-4 * y + y * y) = 60
(-4y + y2) = 60

Solving
-4y + y2 = 60

Solving for variable 'y'.

Reorder the terms:
-60 + -4y + y2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -4y + y2 = 0

Factor a trinomial.
(-6 + -1y)(10 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve:

Simplifying
10 + -1y = 0

Solving
10 + -1y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10
Solution
y = {-6, 10}