Solve y(6m-5)+4=00y

$$y ( 6 m - 5 ) + 4 = 00 y$$

Solve for m

$$m=\frac{5}{6}-\frac{2}{3y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply y by 6m-5.

$$6ym-5y+4=0\times 0y$$

Multiply 0 and 0 to get 0.

$$6ym-5y+4=0y$$

Anything times zero gives zero.

$$6ym-5y+4=0$$

Add 5y to both sides. Anything plus zero gives itself.

$$6ym+4=5y$$

Subtract 4 from both sides.

$$6ym=5y-4$$

Divide both sides by 6y.

$$\frac{6ym}{6y}=\frac{5y-4}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

$$m=\frac{5y-4}{6y}$$

Divide 5y-4 by 6y.

$$m=\frac{5}{6}-\frac{2}{3y}$$

Solve for y

$$y=-\frac{4}{6m-5}$$

$$m\neq \frac{5}{6}$$

Steps for Solving Linear Equation

Use the distributive property to multiply y by 6m-5.

$$6ym-5y+4=0\times 0y$$

Multiply 0 and 0 to get 0.

$$6ym-5y+4=0y$$

Anything times zero gives zero.

$$6ym-5y+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$6ym-5y=-4$$

Combine all terms containing y.

$$\left(6m-5\right)y=-4$$

Divide both sides by 6m-5.

$$\frac{\left(6m-5\right)y}{6m-5}=-\frac{4}{6m-5}$$

Dividing by 6m-5 undoes the multiplication by 6m-5.

$$y=-\frac{4}{6m-5}$$