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Solve the inequality for y. This basically means to get the y variable on one side of the symbol alone. Treat this equation like you would treat one that has "=".

Solve for y. Subtract 6 from both sides (inverse operations):

[tex]-3y+6-6<13-6[/tex]

The 6 on the left equals 0, canceling out. Simplify:

[tex]-3y<7[/tex]

-3y is a coefficient. This can be seen as -3×y. In order to isolate the variable, use inverse operations. Since multiplication is used, divide the coefficient by -3:

[tex]\frac{-3y}{-3}<\frac{7}{-3}[/tex]

Two negatives make a positive and the -3 cancels out, leaving "+y". Since we divided by a negative number, flip the symbol:

[tex]y>-\frac{7}{3}[/tex]

Simplify the fraction by seeing first how many times 3 fits into 7 (this would be the whole number) and the remaining number is the numerator. Keep the denominator the same:

[tex]3*2=6\\\\7-6=1\\\\-2\frac{1}{3}[/tex]

Insert into the inequality:

[tex]y>-2\frac{1}{3}[/tex]

:Done