Question

solve for the value of y.

Explanation:

Step1: Set up equation

Since the two angles are supplementary (sum to 180°), we have the equation $8y+(6y - 2)=180$.

Step2: Combine like - terms

Combining the $y$ terms on the left - hand side gives $(8y+6y)-2 = 180$, which simplifies to $14y-2 = 180$.

Step3: Add 2 to both sides

Adding 2 to both sides of the equation $14y-2 = 180$ gives $14y-2 + 2=180 + 2$, so $14y=182$.

Step4: Solve for y

Dividing both sides of the equation $14y=182$ by 14, we get $y=\frac{182}{14}=13$.

Answer:

$y = 13$