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\left(y+13\right)\times 3=16y
Variable y cannot be equal to any of the values -13,0 since division by zero is not defined. Multiply both sides of the equation by 16y\left(y+13\right), the least common multiple of 16y,y+13.
3y+39=16y
Use the distributive property to multiply y+13 by 3.
3y+39-16y=0
Subtract 16y from both sides.
-13y+39=0
Combine 3y and -16y to get -13y.
-13y=-39
Subtract 39 from both sides. Anything subtracted from zero gives its negation.
y=\frac{-39}{-13}
Divide both sides by -13.
y=3
Divide -39 by -13 to get 3.