Answer:
y=10
j=8
Step-by-step explanation:
[tex]3y-7=23[/tex]
Collect like terms and simplify
[tex]3y =23+7\\3y=30[/tex]
Divide both sides of the equation by 3
[tex]\frac{3y}{3} = \frac{30}{3}[/tex]
Simplify
[tex]y=10[/tex]
2.
[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]
