Answer:
y > 6
Step-by-step explanation:
3 x [tex]\frac{y}{2}[/tex] - 4 > [tex]\frac{4}{5}[/tex] + 7 x [tex]\frac{y}{10}[/tex]
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Subtract 7 [tex]\frac{y}{10}[/tex] from both sides
3 x [tex]\frac{y}{2}[/tex] - 4 - 7 x [tex]\frac{y}{10}[/tex] - 7 x [tex]\frac{y}{10}[/tex] (simplify) -> [tex]\frac{4y}{5}[/tex] - 4 > [tex]\frac{4}{5}[/tex]
Add 4 to both sides
[tex]\frac{4y}{5}[/tex] - 4 + 4 > [tex]\frac{4}{5}[/tex] + 4 (simplify) -> [tex]\frac{4y}{5}[/tex] > [tex]\frac{24}{5}[/tex]
Mulitply both sides by 5
[tex]\frac{5x4y}{5}[/tex] > [tex]\frac{24 x 5}{5}[/tex] (simplify) -> 4y >24
Divide both sides by 4
[tex]\frac{4y}{4}[/tex] > [tex]\frac{24}{4}[/tex] (simplify) -> y > 6
