Solve 3(y+9)=12y+13

$$3 ( y + 9 ) = 12 y + 13$$

Solve for y

$$y = \frac{14}{9} = 1\frac{5}{9} \approx 1.555555556$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by y+9.

$$3y+27=12y+13$$

Subtract 12y from both sides.

$$3y+27-12y=13$$

Combine 3y and -12y to get -9y.

$$-9y+27=13$$

Subtract 27 from both sides.

$$-9y=13-27$$

Subtract 27 from 13 to get -14.

$$-9y=-14$$

Divide both sides by -9.

$$y=\frac{-14}{-9}$$

Fraction \frac{-14}{-9} can be simplified to \frac{14}{9} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{14}{9}$$