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40y+1350-27y\leq 1500
Use the distributive property to multiply 27 by 50-y.
13y+1350\leq 1500
Combine 40y and -27y to get 13y.
13y\leq 1500-1350
Subtract 1350 from both sides.
13y\leq 150
Subtract 1350 from 1500 to get 150.
y\leq \frac{150}{13}
Divide both sides by 13. Since 13 is positive, the inequality direction remains the same.