Question 133205
# 1




{{{7y+4=-3}}} Start with the given equation




{{{7y=-3-4}}}Subtract 4 from both sides



{{{7y=-7}}} Combine like terms on the right side



{{{y=(-7)/(7)}}} Divide both sides by 7 to isolate y




{{{y=-1}}} Divide


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Answer:

So our answer is {{{y=-1}}} 






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# 2




{{{(5/2)x-1=x+1/4}}} Start with the given equation




{{{(4)((5/cross(2))x-1)=(4)(x+1/cross(4))}}} Multiply both sides by the LCM of 4. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{10x-4=4x+1}}} Distribute and multiply the LCM to each side




{{{10x=4x+1+4}}}Add 4 to both sides



{{{10x-4x=1+4}}} Subtract 4x from both sides



{{{6x=1+4}}} Combine like terms on the left side



{{{6x=5}}} Combine like terms on the right side



{{{x=(5)/(6)}}} Divide both sides by 6 to isolate x





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Answer:

So our answer is {{{x=5/6}}}  (which is approximately {{{x=0.83333}}} in decimal form)



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# 3





{{{(3(w+3))/4=2w+3}}} Start with the given equation




{{{(4)((3(w+3))/cross(4))=(4)(2w+3)}}} Multiply both sides by the LCM of 4. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{3(w+3)=8w+12}}} Distribute and multiply the LCM to each side




{{{3w+9=8w+12}}} Distribute again



{{{3w=8w+12-9}}}Subtract 9 from both sides



{{{3w-8w=12-9}}} Subtract 8w from both sides



{{{-5w=12-9}}} Combine like terms on the left side



{{{-5w=3}}} Combine like terms on the right side



{{{w=(3)/(-5)}}} Divide both sides by -5 to isolate w




{{{w=-3/5}}} Reduce


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Answer:

So our answer is {{{w=-3/5}}}  (which is approximately {{{w=-0.6}}} in decimal form)