4y*4y+2=38

Solution for 4y*4y+2=38 equation:

Simplifying
4y * 4y + 2 = 38

Reorder the terms for easier multiplication:
4 * 4y * y + 2 = 38

Multiply 4 * 4
16y * y + 2 = 38

Multiply y * y
16y2 + 2 = 38

Reorder the terms:
2 + 16y2 = 38

Solving
2 + 16y2 = 38

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 16y2 = 38 + -2

Combine like terms: 2 + -2 = 0
0 + 16y2 = 38 + -2
16y2 = 38 + -2

Combine like terms: 38 + -2 = 36
16y2 = 36

Divide each side by '16'.
y2 = 2.25

Simplifying
y2 = 2.25

Take the square root of each side:
y = {-1.5, 1.5}