7y(y)=4y

Solution for 7y(y)=4y equation:

Simplifying
7y(y) = 4y

Multiply y * y
7y2 = 4y

Solving
7y2 = 4y

Solving for variable 'y'.

Reorder the terms:
-4y + 7y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
-4y + 7y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4 + 7y) = 0

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 '(-4 + 7y)' equal to zero and attempt to solve:

Simplifying
-4 + 7y = 0

Solving
-4 + 7y = 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 + 7y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7y = 0 + 4
7y = 0 + 4

Combine like terms: 0 + 4 = 4
7y = 4

Divide each side by '7'.
y = 0.5714285714

Simplifying
y = 0.5714285714
Solution
y = {0, 0.5714285714}