Answer :

The common denominator is 6.

So we will multiply the first fraction with 3
the 1 will be multiplied with 6
and the result with 2.

In this way we will get rid of the fraction.
3(6y+1)+1*6=2(7y-3)
18y+3+6=14y-6
18y+9=14y-6
18y-14y=-6-9
4y=-15
y=-15/4
[tex]\frac{6y+1}{2} + 1 = \frac{7y-3}{3}[/tex]

⇒[tex]\frac{6y+1 +2}{2}= \frac{7y-3}{3} [/tex]

⇒[tex]\frac{6y+3}{2}= \frac{7y-3}{3} [/tex]

⇒[tex]{3(6y+3)}= {2(7y-3)} [/tex]

⇒[tex]18y+9 =14y - 6\\ [/tex]

⇒[tex]4y = -15[/tex]

⇒[tex]y=\frac{-15}{4}[/tex]

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