Solve for y : {:[-(1)/(2)=(3)/(8)y],[y=◻]:}

Isolate y by division: First, let's isolate y by dividing both sides of the equation by (3/8). -(1/2) ÷ (3/8) = yMultiply by reciprocal: To divide by a fraction, multiply by its reciprocal. -(1/2) × (8/3) = yMultiply numerators and denominators: Now, multiply the numerators and denominators. -1 × 8 = -8 and 2 × 3 = 6, so y = -8/6Simplify the fraction: Simplify the fraction by dividing both numerator and denominator by 2. y = -4/3

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Solve for
y :

{:[-(1)/(2)=(3)/(8)y],[y=◻]:}

Solve for $y$ : $\newline$ $\begin{array}{l} -\frac{1}{2}=\frac{3}{8} y \\ y=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

y

\newline

\begin{array}{l} -\frac{1}{2}=\frac{3}{8} y \\ y=\square \end{array}

Isolate y by division: First, let's isolate y by dividing both sides of the equation by $(\frac{3}{8})$ . $\newline$ $-\left(\frac{1}{2}\right) \div \left(\frac{3}{8}\right) = y$
Multiply by reciprocal: To divide by a fraction, multiply by its reciprocal. $\newline$ $-\frac{1}{2} \times \frac{8}{3} = y$
Multiply numerators and denominators: Now, multiply the numerators and denominators. $\newline$ $-1 \times 8 = -8$ and $2 \times 3 = 6$ , so $y = \frac{-8}{6}$
Simplify the fraction: Simplify the fraction by dividing both numerator and denominator by $2$ . $y = \frac{-4}{3}$