Solve 1(v-7)+0.39y=0.03y-0.20

$$1 ( v - 7 ) + 0.39 y = 0.03 y - 0.20$$

Solve for v

$$v=-\frac{9y}{25}+6.8$$

Solution Steps

Use the distributive property to multiply 1 by v-7.

$$v-7+0.39y=0.03y-0.2$$

Add 7 to both sides.

$$v+0.39y=0.03y-0.2+7$$

Add -0.2 and 7 to get 6.8.

$$v+0.39y=0.03y+6.8$$

Subtract 0.39y from both sides.

$$v=0.03y+6.8-0.39y$$

Combine 0.03y and -0.39y to get -0.36y.

$$v=-0.36y+6.8$$

Solve for y

$$y=\frac{170-25v}{9}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1 by v-7.

$$v-7+0.39y=0.03y-0.2$$

Subtract 0.03y from both sides.

$$v-7+0.39y-0.03y=-0.2$$

Combine 0.39y and -0.03y to get 0.36y.

$$v-7+0.36y=-0.2$$

Subtract v from both sides.

$$-7+0.36y=-0.2-v$$

Add 7 to both sides.

$$0.36y=-0.2-v+7$$

Add -0.2 and 7 to get 6.8.

$$0.36y=6.8-v$$

Divide both sides of the equation by 0.36, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.36y}{0.36}=\frac{6.8-v}{0.36}$$

Dividing by 0.36 undoes the multiplication by 0.36.

$$y=\frac{6.8-v}{0.36}$$

Divide 6.8-v by 0.36 by multiplying 6.8-v by the reciprocal of 0.36.

$$y=\frac{170-25v}{9}$$