What is the answer to (y-5)/4 =(-7y)/(-3)+3/1 ?

The answer to (y-5)/4 =(-7y)/(-3)+3/1 is y=-51/25

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(y-5)/4 =(-7y)/(-3)+3/1

\frac{y - 5}{4} = \frac{- 7 y}{- 3} + \frac{3}{1}

y = - \frac{51}{25}

Solution steps

\frac{y - 5}{4} = \frac{- 7 y}{- 3} + \frac{3}{1}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

\frac{y - 5}{4} = \frac{7 y}{3} + \frac{3}{1}

Apply rule

\frac{a}{1} = a

\frac{y - 5}{4} = \frac{7 y}{3} + 3

Multiply by LCM

3 (y - 5) = 28 y + 36

Expand

3 (y - 5) : 3 y - 15

3 y - 15 = 28 y + 36

Move

15

to the right side

3 y = 28 y + 51

Move

28 y

to the left side

- 25 y = 51

Divide both sides by

- 25

y = - \frac{51}{25}

\frac{5}{7} x - \frac{1}{2} (x + 3) \leq \frac{9}{14}

6 4^{- \frac{7}{6}}

∣ 9 x + 1 ∣ = 46

(1 + \frac{0.08}{12})^{12} - 1

- 3 x + 6 \geq 12

What is the answer to (y-5)/4 =(-7y)/(-3)+3/1 ?
The answer to (y-5)/4 =(-7y)/(-3)+3/1 is y=-51/25
Solve for y: (y-5)/4 =(-7y)/(-3)+3/1
The solution is y=-51/25