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Addition of Negative Numbers

8 y +4=3 y -1...

Question

Solve: $8 y + 4 = 3 (y - 1) + 7$

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Solution

We have
$8 y + 4 = 3 (y - 1) + 7$
$\Rightarrow 8 y + 4 = 3 y - 3 + 7$
$\Rightarrow 8 y + 4 = 3 y + 4$
$\Rightarrow 8 y + 4 - 3 y - 4 = 0$
$\Rightarrow 5 y = 0$
$\Rightarrow y = 0$

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