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

Solve for y y :\newline−12=38yy=□ \begin{array}{l} -\frac{1}{2}=\frac{3}{8} y \\ y=\square \end{array}

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Full solution

Q. Solve for y y :\newline−12=38yy=□ \begin{array}{l} -\frac{1}{2}=\frac{3}{8} y \\ y=\square \end{array}
  1. Isolate y by division: First, let's isolate y by dividing both sides of the equation by (38)(\frac{3}{8}).\newline−(12)÷(38)=y-\left(\frac{1}{2}\right) \div \left(\frac{3}{8}\right) = y
  2. Multiply by reciprocal: To divide by a fraction, multiply by its reciprocal. \newline−12×83=y-\frac{1}{2} \times \frac{8}{3} = y
  3. Multiply numerators and denominators: Now, multiply the numerators and denominators.\newline−1×8=−8-1 \times 8 = -8 and 2×3=62 \times 3 = 6, so y=−86y = \frac{-8}{6}
  4. Simplify the fraction: Simplify the fraction by dividing both numerator and denominator by 22.y=−43y = \frac{-4}{3}

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