Solve for y
y=51
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\left(y-3\right)\times 7=\left(y+5\right)\times 6
Variable y cannot be equal to any of the values -5,3 since division by zero is not defined. Multiply both sides of the equation by \left(y-3\right)\left(y+5\right), the least common multiple of y+5,y-3.
7y-21=\left(y+5\right)\times 6
Use the distributive property to multiply y-3 by 7.
7y-21=6y+30
Use the distributive property to multiply y+5 by 6.
7y-21-6y=30
Subtract 6y from both sides.
y-21=30
Combine 7y and -6y to get y.
y=30+21
Add 21 to both sides.
y=51
Add 30 and 21 to get 51.
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