Answer:
[tex]\displaystyle \boxed{3x - 2y = -28}[/tex]
Step-by-step explanation:
y - 5 = 3⁄2(x + 6)
y - 5 = 3⁄2x + 9
+ 5 + 5
__________
y = 3⁄2x + 14
- 3⁄2x - 3⁄2x
________
−3⁄2x + y = 14 [We do not want mixed numbers\fractions in our standard equation, so multiply by the denominator to get rid of it.]
−2[−3⁄2x + y = 14]
[tex]\displaystyle 3x - 2y = -28[/tex]
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