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Question
tonya solved the literal equation 8x + 4y = 16 for y. which of the following could be her final answer? y = - 8x + 16 y = - 8x + 12 y = - 2x + 4 y = 2x - 4
Step1: Isolate the term with y
Starting with $8x + 4y=16$, subtract $8x$ from both sides: $4y=16 - 8x$.
Step2: Solve for y
Divide each term in $4y=16 - 8x$ by 4. We get $y=\frac{16}{4}-\frac{8x}{4}$, which simplifies to $y = - 2x+4$.
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$y=-2x + 4$