How to solve y-(2-3y)=11y-4

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 y-(2-3y)=11y-4 | Equatix

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$y-(2-3y)=11y-4$$

Solve for y

$y=\frac{2}{7}\approx 0.285714286$

Steps for Solving Linear Equation

To find the opposite of $2-3y$, find the opposite of each term.

$$y-2-\left(-3y\right)=11y-4$$

The opposite of $-3y$ is $3y$.

$$y-2+3y=11y-4$$

Combine $y$ and $3y$ to get $4y$.

$$4y-2=11y-4$$

Subtract $11y$ from both sides.

$$4y-2-11y=-4$$

Combine $4y$ and $-11y$ to get $-7y$.

$$-7y-2=-4$$

Add $2$ to both sides.

$$-7y=-4+2$$

Add $-4$ and $2$ to get $-2$.

$$-7y=-2$$

Divide both sides by $-7$.

$$y=\frac{-2}{-7}$$

Fraction $\frac{-2}{-7}$ can be simplified to $\frac{2}{7}$ by removing the negative sign from both the numerator and the denominator.

$$y=\frac{2}{7}$$

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Solve for y

Steps for Solving Linear Equation