What is the answer to -2+y=2(1/3 y-3) ?

The answer to -2+y=2(1/3 y-3) is y=-12

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-2+y=2(1/3 y-3)

- 2 + y = 2 (\frac{1}{3} y - 3)

y = - 12

Solution steps

- 2 + y = 2 (\frac{1}{3} y - 3)

Expand

2 (\frac{1}{3} y - 3) : \frac{2}{3} y - 6

- 2 + y = \frac{2}{3} y - 6

Move

2

to the right side

y = \frac{2}{3} y - 4

Move

\frac{2}{3} y

to the left side

\frac{1}{3} y = - 4

Multiply both sides by

3

y = - 12

lo g_{13} (169) = x

lo g_{\frac{1}{3}} (243) = x

x + (x + 2) = 36

3 (x + 8) = x + 4

x + 1 = - x