How to solve (2y+5)/(3)=3y-8

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (2y+5)/(3)=3y-8 | Equatix

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Question

$$\frac{ 2y+5 }{ 3 } =3y-8$$

Solve for y

$y = \frac{29}{7} = 4\frac{1}{7} \approx 4.142857143$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$2y+5=9y-24$$

Subtract $9y$ from both sides.

$$2y+5-9y=-24$$

Combine $2y$ and $-9y$ to get $-7y$.

$$-7y+5=-24$$

Subtract $5$ from both sides.

$$-7y=-24-5$$

Subtract $5$ from $-24$ to get $-29$.

$$-7y=-29$$

Divide both sides by $-7$.

$$y=\frac{-29}{-7}$$

Fraction $\frac{-29}{-7}$ can be simplified to $\frac{29}{7}$ by removing the negative sign from both the numerator and the denominator.

$$y=\frac{29}{7}$$

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Question

Solve for y

Steps for Solving Linear Equation