2y*2y=3y*y+4

Solution for 2y*2y=3y*y+4 equation:

Simplifying
2y * 2y = 3y * y + 4

Reorder the terms for easier multiplication:
2 * 2y * y = 3y * y + 4

Multiply 2 * 2
4y * y = 3y * y + 4

Multiply y * y
4y2 = 3y * y + 4

Multiply y * y
4y2 = 3y2 + 4

Reorder the terms:
4y2 = 4 + 3y2

Solving
4y2 = 4 + 3y2

Solving for variable 'y'.

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

Add '-3y2' to each side of the equation.
4y2 + -3y2 = 4 + 3y2 + -3y2

Combine like terms: 4y2 + -3y2 = 1y2
1y2 = 4 + 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 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}