Solve for y
y=\frac{7}{22}\approx 0.318181818
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3\left(6y-5\right)=\left(y+2\right)\left(-4\right)
Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 3\left(y+2\right), the least common multiple of y+2,3.
18y-15=\left(y+2\right)\left(-4\right)
Use the distributive property to multiply 3 by 6y-5.
18y-15=-4y-8
Use the distributive property to multiply y+2 by -4.
18y-15+4y=-8
Add 4y to both sides.
22y-15=-8
Combine 18y and 4y to get 22y.
22y=-8+15
Add 15 to both sides.
22y=7
Add -8 and 15 to get 7.
y=\frac{7}{22}
Divide both sides by 22.
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