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\frac{5}{6}y+4-\frac{1}{3}y=-2
Subtract \frac{1}{3}y from both sides.
\frac{1}{2}y+4=-2
Combine \frac{5}{6}y and -\frac{1}{3}y to get \frac{1}{2}y.
\frac{1}{2}y=-2-4
Subtract 4 from both sides.
\frac{1}{2}y=-6
Subtract 4 from -2 to get -6.
y=-6\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
y=-12
Multiply -6 and 2 to get -12.