1. The problem asks to express the sum \(\frac{y+7}{1} + \frac{y+5}{1}\) as a single fraction in simplest form.
2. Since both fractions have denominator 1, we can add the numerators directly:
$$\frac{y+7}{1} + \frac{y+5}{1} = \frac{(y+7) + (y+5)}{1}$$
3. Simplify the numerator by combining like terms:
$$y + 7 + y + 5 = 2y + 12$$
4. So the single fraction is:
$$\frac{2y + 12}{1} = 2y + 12$$
5. To write it as a fraction in simplest form, factor out the common factor 2:
$$2y + 12 = 2(y + 6)$$
6. Therefore, the expression as a single fraction is:
$$\frac{2(y + 6)}{1}$$
which is equivalent to \(2(y+6)\).
Sum Fraction
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