Question

solve for y. 0.18 + y = 0.4(7y - 0.9)

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b - c)=ab - ac\) to expand \(0.4(7y - 0.9)\). So we get \(0.4\times7y-0.4\times0.9 = 2.8y-0.36\). The equation becomes \(0.18 + y=2.8y - 0.36\).

Step2: Move terms with y to one side

Subtract \(y\) from both sides of the equation: \(0.18 + y-y=2.8y - y- 0.36\), which simplifies to \(0.18 = 1.8y-0.36\).

Step3: Move constant terms to the other side

Add \(0.36\) to both sides: \(0.18 + 0.36=1.8y-0.36 + 0.36\), so \(0.54 = 1.8y\).

Step4: Solve for y

Divide both sides by \(1.8\): \(y=\frac{0.54}{1.8}=0.3\).

Answer:

\(y = 0.3\)