Solve 3(4y+9)=7(2-5y)-2y

$$3 ( 4 y + 9 ) = 7 ( 2 - 5 y ) - 2 y$$

Solve for y

$$y=-\frac{13}{49}\approx -0.265306122$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 4y+9.

$$12y+27=7\left(2-5y\right)-2y$$

Use the distributive property to multiply 7 by 2-5y.

$$12y+27=14-35y-2y$$

Combine -35y and -2y to get -37y.

$$12y+27=14-37y$$

Add 37y to both sides.

$$12y+27+37y=14$$

Combine 12y and 37y to get 49y.

$$49y+27=14$$

Subtract 27 from both sides.

$$49y=14-27$$

Subtract 27 from 14 to get -13.

$$49y=-13$$

Divide both sides by 49.

$$y=\frac{-13}{49}$$

Fraction \frac{-13}{49} can be rewritten as -\frac{13}{49} by extracting the negative sign.

$$y=-\frac{13}{49}$$