Solve for y
y=-8
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-5\left(3y+4\right)=\left(6y-2\right)\left(-2\right)
Variable y cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 10\left(3y-1\right), the least common multiple of 2-6y,5.
-15y-20=\left(6y-2\right)\left(-2\right)
Use the distributive property to multiply -5 by 3y+4.
-15y-20=-12y+4
Use the distributive property to multiply 6y-2 by -2.
-15y-20+12y=4
Add 12y to both sides.
-3y-20=4
Combine -15y and 12y to get -3y.
-3y=4+20
Add 20 to both sides.
-3y=24
Add 4 and 20 to get 24.
y=\frac{24}{-3}
Divide both sides by -3.
y=-8
Divide 24 by -3 to get -8.
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