8y + 7x - 2x + 4y

Combine like terms:
\[8y + 4y = 12y\]
\[7x - 2x = 5x\]
So, the expression simplifies to:
\[12y + 5x\]

Supplemental Knowledge

Simplifying expressions requires grouping terms which contain similar variables raised to equal powers - for instance, in this equation: \(Function = F ( Num, V2) + 1\). For instance, here's an expression: \(F = ( V1, N1,...) \).

Similar terms to \(8y + 7x\) are those with eight numbers plus seven subtraction two subtraction four plus four, for instance \(( 8y+ 7x- 2x- 4y) \).

They distinguish between those displaying "Y" (yellow) and those having an "x".

Concepts to Actions

Imagine you are hosting a fundraising event and accepting various types of donations - cash (represented by an "x") and gift cards (represented by "y"). Assuming you receive multiples donations of each type, then it would be helpful to know their total amounts separately.
For instance, if you receive 7 dollars in cash from one donor, -2 dollars from another (perhaps a refund or a correction), and then 8 dollars in gift cards from one donor and 4 dollars from another, you would combine these amounts to get the total cash and total gift cards.

Simplifying algebraic expressions is a foundational skill necessary for solving more complex issues efficiently. UpStudy offers various tools and resources specifically tailored for this goal if you want to expand or develop your algebra skills or need assistance with specific mathematics issues.
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