Question

solve for y. 2(y + 61) - 42 > -44

Explanation:

Step1: Expand the left side

First, we expand \(2(y + 61)\) using the distributive property \(a(b + c)=ab+ac\). So, \(2(y + 61)=2y+122\). The inequality becomes \(2y + 122-42>-44\).

Step2: Simplify the left side

Simplify \(122 - 42\) which equals \(80\). So the inequality is now \(2y+80>-44\).

Step3: Subtract 80 from both sides

Subtract \(80\) from both sides of the inequality: \(2y+80 - 80>-44 - 80\). This simplifies to \(2y>-124\).

Step4: Divide both sides by 2

Divide both sides of the inequality by \(2\): \(\frac{2y}{2}>\frac{-124}{2}\). This gives \(y>-62\).

Answer:

\(y > - 62\)