16=4y(13-3y)

Solution for 16=4y(13-3y) equation:

Simplifying
16 = 4y(13 + -3y)
16 = (13 * 4y + -3y * 4y)
16 = (52y + -12y2)

Solving
16 = 52y + -12y2

Solving for variable 'y'.

Reorder the terms:
16 + -52y + 12y2 = 52y + -52y + -12y2 + 12y2

Combine like terms: 52y + -52y = 0
16 + -52y + 12y2 = 0 + -12y2 + 12y2
16 + -52y + 12y2 = -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
16 + -52y + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -13y + 3y2) = 0

Factor a trinomial.
4((1 + -3y)(4 + -1y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {0.3333333333, 4}