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8y-4y-\left(-16\right)=40
To find the opposite of 4y-16, find the opposite of each term.
8y-4y+16=40
The opposite of -16 is 16.
4y+16=40
Combine 8y and -4y to get 4y.
4y=40-16
Subtract 16 from both sides.
4y=24
Subtract 16 from 40 to get 24.
y=\frac{24}{4}
Divide both sides by 4.
y=6
Divide 24 by 4 to get 6.