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y<\frac{1}{3}y+\frac{8}{3}
Divide each term of y+8 by 3 to get \frac{1}{3}y+\frac{8}{3}.
y-\frac{1}{3}y<\frac{8}{3}
Subtract \frac{1}{3}y from both sides.
\frac{2}{3}y<\frac{8}{3}
Combine y and -\frac{1}{3}y to get \frac{2}{3}y.
y<\frac{8}{3}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.
y<\frac{8\times 3}{3\times 2}
Multiply \frac{8}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y<\frac{8}{2}
Cancel out 3 in both numerator and denominator.
y<4
Divide 8 by 2 to get 4.