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Solve for 
y.

{:[(3)/(11)=(6)/(y)],[y=]:}

Solve for y y .\newline311=6yy= \begin{array}{l} \frac{3}{11}=\frac{6}{y} \\ y= \end{array}

Full solution

Q. Solve for y y .\newline311=6yy= \begin{array}{l} \frac{3}{11}=\frac{6}{y} \\ y= \end{array}
  1. Write Equation: Write down the given equation.\newlineWe have the equation (311)=(6y)(\frac{3}{11}) = (\frac{6}{y}). Our goal is to find the value of yy.
  2. Cross-Multiply: Cross-multiply to solve for yy. Cross-multiplication gives us 3×y=11×63 \times y = 11 \times 6.
  3. Perform Multiplication: Perform the multiplication on the right side of the equation. 11×6=6611 \times 6 = 66, so the equation becomes 3×y=663 \times y = 66.
  4. Divide for yy: Divide both sides of the equation by 33 to solve for yy.\newliney=663y = \frac{66}{3}.
  5. Calculate yy: Calculate the value of yy.663=22\frac{66}{3} = 22, so y=22y = 22.

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