Question 226437
I'll do the first two to get you going


# 1




{{{18-4y=-2(6+2y)}}} Start with the given equation.



{{{18-4y=-12-4y}}} Distribute.



{{{-4y=-12-4y-18}}} Subtract {{{18}}} from both sides.



{{{-4y+4y=-12-18}}} Add {{{4y}}} to both sides.



{{{0y=-12-18}}} Combine like terms on the left side.



{{{0y=-30}}} Combine like terms on the right side.



{{{0=-30}}} Simplify.



Since this equation is <font size=4><b>never</b></font> true for any y value, this means that there are no solutions.




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# 2




{{{4(8-p)-1(7-p)=22}}} Start with the given equation.



{{{32-4p-7+p=22}}} Distribute.



{{{-3p+25=22}}} Combine like terms on the left side.



{{{-3p=22-25}}} Subtract {{{25}}} from both sides.



{{{-3p=-3}}} Combine like terms on the right side.



{{{p=(-3)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{p}}}.



{{{p=1}}} Reduce.



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Answer:


So the answer is {{{p=1}}}