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y=\frac{4}{3}y+3
Divide each term of 4y+9 by 3 to get \frac{4}{3}y+3.
y-\frac{4}{3}y=3
Subtract \frac{4}{3}y from both sides.
-\frac{1}{3}y=3
Combine y and -\frac{4}{3}y to get -\frac{1}{3}y.
y=3\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
y=-9
Multiply 3 and -3 to get -9.