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46y-3\times 7=16y+21
Add 2 and 5 to get 7.
46y-21=16y+21
Multiply 3 and 7 to get 21.
46y-21-16y=21
Subtract 16y from both sides.
30y-21=21
Combine 46y and -16y to get 30y.
30y=21+21
Add 21 to both sides.
30y=42
Add 21 and 21 to get 42.
y=\frac{42}{30}
Divide both sides by 30.
y=\frac{7}{5}
Reduce the fraction \frac{42}{30} to lowest terms by extracting and canceling out 6.