How do you solve for x and y in the equation 7y + 3 – 2x + 2 = 14 + 4y – 2 + 3x + 3 – 2?

To solve for x and y in the given equation, we first need to simplify and rearrange the equation.

The equation is:

7y + 3 - 2x + 2 = 14 + 4y - 2 + 3x + 3 - 2

Let’s simplify both sides:

  • Left side: 7y + 5 – 2x
  • Right side: 14 – 2 + 3 – 2 + 4y + 3x = 13 + 4y + 3x

Now rewriting the equation results in:

7y - 4y - 2x - 3x + 5 - 13 = 0

Simplifying further gives:

3y - 5x - 8 = 0

This can be represented as:

3y = 5x + 8

At this point, we have a linear equation in both x and y. To solve for x and y, you’ll need another equation to find specific values or further context, such as a point on the line.

In conclusion, the simplified equation points to a relationship between x and y, which can help when you gather additional information about either variable.

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