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In the following exercises, solve each equation with decimal coefficients.

0.7y+2.5=0.95y−9.25

Short Answer

Expert verified

Thesimplifiedvalueisy=47

Step by step solution

01

Step 1. Given information

The given equation is 0.7y+2.5=0.95y−9.25

We have to sovle the givene equation.

02

Step 2. Explanation

Solve:0.7y+2.5=0.95y−9.25⇒100(0.7y+2.5)=100(0.95y−9.25)(MultiplybytheLCD,100)⇒100×0.7y+100×2.5)=100×0.95y−100×9.25(Distribute)⇒70y+250=95y−925(Multiply)⇒70y−70y+250=95y−70y−925(Subtract70yfrombothsides)⇒250=25y−925(Simplify)⇒250+925=25y−925+925(Add925tobothsides)⇒1175=25y(Simplify)⇒117525=25y25(Dividebothsidesby25)⇒47=y(Simplify)Thesimplifiedvalueisy=47

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