Question Solve the equation $4y - 7 = 5x^2 - x + 2 + 3y$ for $x$ and $y$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $4y - 7 = 5x^2 - x + 2 + 3y$ .
2. We need to solve for $y$ in terms of $x$ .

STEP 2

First, we need to collect all terms involving $y$ on one side of the equation and all other terms on the opposite side.
$4y - 3y = 5x^2 - x + 2 + 7$

STEP 3

Combine like terms on both sides of the equation.
$y = 5x^2 - x + 9$
Now, $y$ is expressed in terms of $x$ .

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