Solve c (4y - 4)/(3y - 30) = 10 | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\frac { 4 y - 4.0 } { 3 y - 30 } = 10$$

Solve for y

$y = \frac{148}{13} = 11\frac{5}{13} \approx 11.384615385$

Steps for Solving Linear Equation

Variable $y$ cannot be equal to $10$ since division by zero is not defined. Multiply both sides of the equation by $3\left(y-10\right)$.

$$4y-4=30\left(y-10\right)$$

Use the distributive property to multiply $30$ by $y-10$.

$$4y-4=30y-300$$

Subtract $30y$ from both sides.

$$4y-4-30y=-300$$

Combine $4y$ and $-30y$ to get $-26y$.

$$-26y-4=-300$$

Add $4$ to both sides.

$$-26y=-300+4$$

Add $-300$ and $4$ to get $-296$.

$$-26y=-296$$

Divide both sides by $-26$.

$$y=\frac{-296}{-26}$$

Reduce the fraction $\frac{-296}{-26}$ to lowest terms by extracting and canceling out $-2$.

$$y=\frac{148}{13}$$