Solve for y
y=54
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\left(y-6\right)\times 5=\left(y+6\right)\times 4
Variable y cannot be equal to any of the values -6,6 since division by zero is not defined. Multiply both sides of the equation by \left(y-6\right)\left(y+6\right), the least common multiple of y+6,y-6.
5y-30=\left(y+6\right)\times 4
Use the distributive property to multiply y-6 by 5.
5y-30=4y+24
Use the distributive property to multiply y+6 by 4.
5y-30-4y=24
Subtract 4y from both sides.
y-30=24
Combine 5y and -4y to get y.
y=24+30
Add 30 to both sides.
y=54
Add 24 and 30 to get 54.
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