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4\left(4y+1\right)=y-4
Multiply both sides of the equation by 20, the least common multiple of 5,20.
16y+4=y-4
Use the distributive property to multiply 4 by 4y+1.
16y+4-y=-4
Subtract y from both sides.
15y+4=-4
Combine 16y and -y to get 15y.
15y=-4-4
Subtract 4 from both sides.
15y=-8
Subtract 4 from -4 to get -8.
y=\frac{-8}{15}
Divide both sides by 15.
y=-\frac{8}{15}
Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.