Question

How do you simplify `21x^4 + 3y - 6x ^ { 2} + 34= 29x ^ { 2} - 7`?

Answer 1

`-3y = 21x^4 - 35x^2 + 41`

Explanation:

1.) `21x^4 + 3y - 6x^2 + 34 = 29x^2 -7`

2.) Rearrange the terms:
`21x^4 - 6x^2 + 3y + 34 = 29x^2 -7`

3.) Move all of the `x`'s, `y`'s, and constants to opposite sides
`21x^4 - 29x^2 -6x^2 + 34 + 7 = -3y`

4.) Combine like terms
`21x^4 - 35x^2 + 41= -3y`

5.) Here's your answer:
`-3y = 21x^4 -35x^2 + 41`