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Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is $75$ grams. Each penny has a mass of $2.5$ grams, each nickel has a mass of $5$ grams and each quarter has a mass of $5.7$ grams.

Create an equation to model this situation, where $x$ is the number of pennies, $y$ is the number of nickels and $z$ is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly $75$ grams.

$2.5 x+5 y+5.7 z=75$

$2.5 x+5.7 y+5 y=75$

$2.5 x+5 y+5.7 z=0.075$

$2.5 x+5.7 y+5 y=0.075$

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