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4y\times 8=\left(4y-3\right)\times 5
Variable y cannot be equal to any of the values 0,\frac{3}{4} since division by zero is not defined. Multiply both sides of the equation by 4y\left(4y-3\right), the least common multiple of 4y-3,4y.
32y=\left(4y-3\right)\times 5
Multiply 4 and 8 to get 32.
32y=20y-15
Use the distributive property to multiply 4y-3 by 5.
32y-20y=-15
Subtract 20y from both sides.
12y=-15
Combine 32y and -20y to get 12y.
y=\frac{-15}{12}
Divide both sides by 12.
y=-\frac{5}{4}
Reduce the fraction \frac{-15}{12} to lowest terms by extracting and canceling out 3.