42=4y^2+6

Solution for 42=4y^2+6 equation:

Simplifying
42 = 4y2 + 6

Reorder the terms:
42 = 6 + 4y2

Solving
42 = 6 + 4y2

Solving for variable 'y'.

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

Add '-4y2' to each side of the equation.
42 + -4y2 = 6 + 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
42 + -4y2 = 6 + 0
42 + -4y2 = 6

Add '-42' to each side of the equation.
42 + -42 + -4y2 = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -4y2 = 6 + -42
-4y2 = 6 + -42

Combine like terms: 6 + -42 = -36
-4y2 = -36

Divide each side by '-4'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}