Question

Solve the equation. Round the result to the nearest tenth if necessary. $$-1.3 y+3.7=4.2-5.4 y$$

Short answer

The solution to the equation is \(y = 0.5 / 4.1\). Remember to round to the nearest tenth if necessary.

Step-by-step solution

Combine like terms

Add \(5.4y\) to both sides of the equation to combine terms with y. This results in \( (-1.3y + 5.4y) + 3.7 = 4.2 \), which simplifies to \(4.1y + 3.7 = 4.2\).

Isolate y

To isolate y, subtract \(3.7\) from both sides of the equation. You then get \(4.1y = 4.2 - 3.7\), which is \(4.1y = 0.5\).

Solve for y

Finally, to solve for y, you have to divide both sides of the equation by \(4.1\). This gives us \(y = 0.5 / 4.1\).