<PRE><B>Question 210182</B>


{{{5y/7-15=5y+30}}} Start with the given equation.



{{{7(5y/cross(7)-15)=7(5y+30)}}} Multiply both sides by the LCD {{{7}}} to clear any fractions.



{{{5y-105=35y+210}}} Distribute and multiply.



{{{5y=35y+210+105}}} Add {{{105}}} to both sides.



{{{5y-35y=210+105}}} Subtract {{{35y}}} from both sides.



{{{-30y=210+105}}} Combine like terms on the left side.



{{{-30y=315}}} Combine like terms on the right side.



{{{y=(315)/(-30)}}} Divide both sides by {{{-30}}} to isolate {{{y}}}.



{{{y=-21/2}}} Reduce.



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Answer:


So the solution is {{{y=-21/2}}} which in decimal form is {{{y=-10.5}}}. 
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