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7\left(y+1\right)=8
Variable y cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by y+1.
7y+7=8
Use the distributive property to multiply 7 by y+1.
7y=8-7
Subtract 7 from both sides.
7y=1
Subtract 7 from 8 to get 1.
y=\frac{1}{7}
Divide both sides by 7.