(8y^2)=(4+7y^2)

Solution for (8y^2)=(4+7y^2) equation:

Simplifying
(8y2) = (4 + 7y2)

Remove parenthesis around (4 + 7y2)
(8y2) = 4 + 7y2

Solving
(8y2) = 4 + 7y2

Solving for variable 'y'.

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

Add '-7y2' to each side of the equation.
(8y2) + -7y2 = 4 + 7y2 + -7y2

Combine like terms: (8y2) + -7y2 = 1y2
1y2 = 4 + 7y2 + -7y2

Combine like terms: 7y2 + -7y2 = 0
1y2 = 4 + 0
1y2 = 4

Divide each side by '1'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}