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2\left(1+3y\right)-2=0
Multiply both sides of the equation by 2.
2+6y-2=0
Use the distributive property to multiply 2 by 1+3y.
6y=0
Subtract 2 from 2 to get 0.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, y must be equal to 0.