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3\left(y+1\right)+2\left(y-1\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3y+3+2\left(y-1\right)=6
Use the distributive property to multiply 3 by y+1.
3y+3+2y-2=6
Use the distributive property to multiply 2 by y-1.
5y+3-2=6
Combine 3y and 2y to get 5y.
5y+1=6
Subtract 2 from 3 to get 1.
5y=6-1
Subtract 1 from both sides.
5y=5
Subtract 1 from 6 to get 5.
y=\frac{5}{5}
Divide both sides by 5.
y=1
Divide 5 by 5 to get 1.