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2y-9=-\left(3y+4\right)
Variable y cannot be equal to -\frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by 3y+4.
2y-9=-3y-4
To find the opposite of 3y+4, find the opposite of each term.
2y-9+3y=-4
Add 3y to both sides.
5y-9=-4
Combine 2y and 3y to get 5y.
5y=-4+9
Add 9 to both sides.
5y=5
Add -4 and 9 to get 5.
y=\frac{5}{5}
Divide both sides by 5.
y=1
Divide 5 by 5 to get 1.