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$Solve for y. Express your answer as a proper or improper fraction in simplest terms. (3)/(4)-(4)/(7)y=(1)/(3) Answer: y=$

Solve for $y$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $\frac{3}{4}-\frac{4}{7} y=\frac{1}{3}$ $\newline$ Answer: $y=$

Full solution

Q. Solve for

y

. Express your answer as a proper or improper fraction in simplest terms.

\newline

\frac{3}{4}-\frac{4}{7} y=\frac{1}{3}

\newline

Answer:

y=

Isolate y term: Isolate the term containing y. $\newline$ To isolate the term containing y, we need to move the fraction $(\frac{3}{4})$ to the other side of the equation by subtracting it from both sides. $\newline$ (\frac{$3$}{$4$}) - (\frac{$4$}{$7$})y - (\frac{$3$}{$4$}) = (\frac{$1$}{$3$}) - (\frac{$3$}{$4$})
Calculate right side: Calculate the right side of the equation.\(\newlineWe need to find a common denominator to subtract $(\frac{3}{4})$ from $(\frac{1}{3})$ . The common denominator for $3$ and $4$ is $12$ . $\newline$ $(\frac{1}{3}) - (\frac{3}{4}) = (\frac{4}{12}) - (\frac{9}{12}) = -(\frac{5}{12})$
Write simplified equation: Write down the simplified equation. $\newline$ After subtracting $(\frac{3}{4})$ from both sides, we have: $\newline$ -\left(\frac{$4$}{$7$}\right)y = -\left(\frac{$5$}{$12$}\right)
Solve for y: Solve for y.\(\newlineTo solve for y, we need to divide both sides by $-\left(\frac{4}{7}\right)$ . This is equivalent to multiplying both sides by the reciprocal of $-\left(\frac{4}{7}\right)$ , which is $-\frac{7}{4}$ . $\newline$ $y = -\left(\frac{5}{12}\right) * \left(-\frac{7}{4}\right)$
Multiply fractions: Multiply the fractions. $\newline$ When multiplying fractions, we multiply the numerators together and the denominators together. $\newline$ $y = \frac{5 \times 7}{12 \times 4}$ $\newline$ $y = \frac{35}{48}$