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5y-60+3y\geq 75
Use the distributive property to multiply -3 by 20-y.
8y-60\geq 75
Combine 5y and 3y to get 8y.
8y\geq 75+60
Add 60 to both sides.
8y\geq 135
Add 75 and 60 to get 135.
y\geq \frac{135}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.