Solve the equation using the multiplication property of equality: (2)/(15)=-(y)/(5) The solution set is __________.

Use multiplication property of equality: We are given the equation (2/15) = -(y/5). To find the value of y, we will use the multiplication property of equality, which states that we can multiply both sides of an equation by the same non-zero number without changing the equality.Multiply by 5: Multiply both sides of the equation by 5 to eliminate the denominator on the right side of the equation. 5 * (2/15) = 5 * -(y/5)Perform multiplication: Perform the multiplication on both sides. (5 * 2) / 15 = -ySimplify left side: Simplify the left side of the equation. 10 / 15 = -yReduce fraction: Reduce the fraction 10/15 to its simplest form. 2 / 3 = -yGet rid of negative sign: To solve for y, we need to get rid of the negative sign. We can multiply both sides by -1. -1 * (2 / 3) = -1 * -yFinal solution: Perform the multiplication on both sides. -2 / 3 = y

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Solve the equation using the multiplication property of equality: $\newline$ $\frac{2}{15} = -\frac{y}{5}$ $\newline$ The solution set is __________.

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Q. Solve the equation using the multiplication property of equality:

\newline

\frac{2}{15} = -\frac{y}{5}

\newline

The solution set is __________.

Use multiplication property of equality: We are given the equation $(\frac{2}{15}) = -(\frac{y}{5})$ . To find the value of $y$ , we will use the multiplication property of equality, which states that we can multiply both sides of an equation by the same non-zero number without changing the equality.
Multiply by $5$ : Multiply both sides of the equation by $5$ to eliminate the denominator on the right side of the equation. $\newline$ $5 \times \frac{2}{15} = 5 \times -\left(\frac{y}{5}\right)$
Perform multiplication: Perform the multiplication on both sides. $\newline$ $(5 \times 2) / 15 = -y$
Simplify left side: Simplify the left side of the equation. $\frac{10}{15} = -y$
Reduce fraction: Reduce the fraction $\frac{10}{15}$ to its simplest form. $\newline$ $\frac{2}{3} = -y$
Get rid of negative sign: To solve for $y$ , we need to get rid of the negative sign. We can multiply both sides by $-1$ . $-1 \times \left(\frac{2}{3}\right) = -1 \times -y$
Final solution: Perform the multiplication on both sides. $\newline$ $-\frac{2}{3} = y$