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1=5\left(y-6\right)
Variable y cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by y-6.
1=5y-30
Use the distributive property to multiply 5 by y-6.
5y-30=1
Swap sides so that all variable terms are on the left hand side.
5y=1+30
Add 30 to both sides.
5y=31
Add 1 and 30 to get 31.
y=\frac{31}{5}
Divide both sides by 5.