# Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals 0.4y-4=2

Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.
$$\displaystyle{0.4}{y}-{4}={2}$$

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Step 1
The given equation is $$\displaystyle{0.4}{y}-{4}={2}$$
The equation $$\displaystyle{0.4}{y}-{4}={2}$$ can be solved as follows.
We multiply the decimal number by 10 to shift the decimal towards right hand side by one place.
Step 2
For clearing the decimals we multiply each term by 10.
$$\displaystyle\Rightarrow{10}\times{0.4}{y}-{10}\times{4}={10}\times{2}$$
$$\displaystyle\Rightarrow{4}{y}-{40}={20}$$
$$\displaystyle\Rightarrow{4}{y}-{40}+{40}={20}+{40}$$
$$\displaystyle\Rightarrow{4}{y}={60}$$
Divide both sides by 4.
$$\displaystyle\Rightarrow{\frac{{{4}{y}}}{{{4}}}}={\frac{{{60}}}{{{4}}}}$$
$$\displaystyle\Rightarrow\ {y}={15}$$
Therefore, $$\displaystyle{y}={15}$$ is the solution of $$\displaystyle{0.4}{y}-{4}={2}.$$