7y=4y^2+3

Solution for 7y=4y^2+3 equation:

Simplifying
7y = 4y2 + 3

Reorder the terms:
7y = 3 + 4y2

Solving
7y = 3 + 4y2

Solving for variable 'y'.

Reorder the terms:
-3 + 7y + -4y2 = 3 + 4y2 + -3 + -4y2

Reorder the terms:
-3 + 7y + -4y2 = 3 + -3 + 4y2 + -4y2

Combine like terms: 3 + -3 = 0
-3 + 7y + -4y2 = 0 + 4y2 + -4y2
-3 + 7y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-3 + 7y + -4y2 = 0

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

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

Simplifying
-1 + y = 0

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

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

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

Simplifying
y = 1
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {1, 0.75}