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\frac{1}{6}y+8=0
Swap sides so that all variable terms are on the left hand side.
\frac{1}{6}y=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
y=-8\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
y=-48
Multiply -8 and 6 to get -48.