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8. look at the figure. find y.

Question

  1. look at the figure. find y.

Explanation:

Step1: Assume right - angled triangle properties

Since the figure appears to have right - angles, we can use the Pythagorean theorem if it's a right - angled triangle. But if we assume the two expressions represent equal sides (as no other information about the figure's properties is given explicitly, and we might assume equal - length sides in some geometric shapes like a rhombus or a square - like figure with right - angles), we set up the equation $5y=3y + 6$.

Step2: Solve the equation for y

Subtract $3y$ from both sides of the equation $5y=3y + 6$. We get $5y-3y=3y + 6-3y$, which simplifies to $2y=6$. Then divide both sides by 2: $\frac{2y}{2}=\frac{6}{2}$, so $y = 3$.

Answer:

3