Answer
[tex]m=\frac{y-7}{3}=\frac{y}{3}-\frac{7}{3}[/tex]
Explanation
Solving the equation means isolating the indicated variable, thus, from the given equation
[tex]3m+7=y[/tex]
we can subtract 7 from both sides of the equation...
[tex]3m+7-7=y-7[/tex][tex]3m=y-7[/tex]
And divide it into three:
[tex]\frac{3m}{3}=\frac{y-7}{3}[/tex][tex]m=\frac{y-7}{3}[/tex][tex]m=\frac{y}{3}-\frac{7}{3}[/tex]
Summary
0. "Solving for a variable", means ",isolating for a variable".
,
1. To isolate/solve for m in the given equation, we have to ,take the 7 to the other side of the equation, (which is the same as ,subtracting 7 from both sides, of the equation and simplifying).
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2. Next, we have to isolate the equation further to ,leave it in terms of m, (which would be the same as, dividing both sides of the equation over 3, and simplifying).
