3y*8y=9y+3y

Solution for 3y*8y=9y+3y equation:

Simplifying
3y * 8y = 9y + 3y

Reorder the terms for easier multiplication:
3 * 8y * y = 9y + 3y

Multiply 3 * 8
24y * y = 9y + 3y

Multiply y * y
24y2 = 9y + 3y

Combine like terms: 9y + 3y = 12y
24y2 = 12y

Solving
24y2 = 12y

Solving for variable 'y'.

Reorder the terms:
-12y + 24y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
-12y + 24y2 = 0

Factor out the Greatest Common Factor (GCF), '12y'.
12y(-1 + 2y) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-1 + 2y)' equal to zero and attempt to solve:

Simplifying
-1 + 2y = 0

Solving
-1 + 2y = 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 + 2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2y = 0 + 1
2y = 0 + 1

Combine like terms: 0 + 1 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5
Solution
y = {0, 0.5}