Solve .93y+1=y-0.4a

$$.93 y + 1 = y - 0.4 a$$

Solve for a

$$a=\frac{7y}{40}-2.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$y-0.4a=0.93y+1$$

Subtract y from both sides.

$$-0.4a=0.93y+1-y$$

Combine 0.93y and -y to get -0.07y.

$$-0.4a=-0.07y+1$$

The equation is in standard form.

$$-0.4a=-\frac{7y}{100}+1$$

Divide both sides of the equation by -0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.4a}{-0.4}=\frac{-\frac{7y}{100}+1}{-0.4}$$

Dividing by -0.4 undoes the multiplication by -0.4.

$$a=\frac{-\frac{7y}{100}+1}{-0.4}$$

Divide -\frac{7y}{100}+1 by -0.4 by multiplying -\frac{7y}{100}+1 by the reciprocal of -0.4.

$$a=\frac{7y}{40}-\frac{5}{2}$$

Solve for y

$$y=\frac{40a+100}{7}$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$0.93y+1-y=-0.4a$$

Combine 0.93y and -y to get -0.07y.

$$-0.07y+1=-0.4a$$

Subtract 1 from both sides.

$$-0.07y=-0.4a-1$$

The equation is in standard form.

$$-0.07y=-\frac{2a}{5}-1$$

Divide both sides of the equation by -0.07, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.07y}{-0.07}=\frac{-\frac{2a}{5}-1}{-0.07}$$

Dividing by -0.07 undoes the multiplication by -0.07.

$$y=\frac{-\frac{2a}{5}-1}{-0.07}$$

Divide -\frac{2a}{5}-1 by -0.07 by multiplying -\frac{2a}{5}-1 by the reciprocal of -0.07.

$$y=\frac{40a+100}{7}$$