Solve 4(3y-1)-3(2y)=10

$$4 ( 3 y - 1 ) - 3 ( 2 y ) = 10$$

Solve for y

$$y = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3y-1.

$$12y-4-3\times 2y=10$$

Multiply 3 and 2 to get 6.

$$12y-4-6y=10$$

Combine 12y and -6y to get 6y.

$$6y-4=10$$

Add 4 to both sides.

$$6y=10+4$$

Add 10 and 4 to get 14.

$$6y=14$$

Divide both sides by 6.

$$y=\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{7}{3}$$