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Verified Answer :

8 / 20 = 42 / y;
Then, y = ( 42 × 20 ) / 8 ;
y = 840 / 8 ;
y = 105;

Create proportions to do this question
When x is 8, y is 20
when x is 42, y is ?

\(\frac{8}{20}\) = \(\frac{42}{?}\)

Do cross multiplication:

8 × ? = 20 × 42
8 × ? = 840

Divide by 8 to isolate the unknown

\(\frac{8*?}{8}\) = \(\frac{840}{8}\)
8 and 8 cancels out

? = 105

y is 105 when x is 42