Solve 4y-10/3+6y+8/2=97

$$\frac { 4 y - 10 } { 3 } + \frac { 6 y + 8 } { 2 } = 97$$

Solve for y

$$y = \frac{289}{13} = 22\frac{3}{13} \approx 22.230769231$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(4y-10\right)+3\left(6y+8\right)=582$$

Use the distributive property to multiply 2 by 4y-10.

$$8y-20+3\left(6y+8\right)=582$$

Use the distributive property to multiply 3 by 6y+8.

$$8y-20+18y+24=582$$

Combine 8y and 18y to get 26y.

$$26y-20+24=582$$

Add -20 and 24 to get 4.

$$26y+4=582$$

Subtract 4 from both sides.

$$26y=582-4$$

Subtract 4 from 582 to get 578.

$$26y=578$$

Divide both sides by 26.

$$y=\frac{578}{26}$$

Reduce the fraction \frac{578}{26} to lowest terms by extracting and canceling out 2.

$$y=\frac{289}{13}$$