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5\left(y-4\right)=4\left(y+1\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5y-20=4\left(y+1\right)
Use the distributive property to multiply 5 by y-4.
5y-20=4y+4
Use the distributive property to multiply 4 by y+1.
5y-20-4y=4
Subtract 4y from both sides.
y-20=4
Combine 5y and -4y to get y.
y=4+20
Add 20 to both sides.
y=24
Add 4 and 20 to get 24.