+895 8x−3=5+4y
Solve for y:
Add 3 to both sides.
8x=4y+8
Divide both sides by 8.
x=1/2y+1
Plug into equation.
8(1/2y+1)-3=5+4y
Distribute.
4+8-3=5+4y
Combine like items.
4=4y
Divide both sides by 4.
y=1
+2446 Unfortunately, you made a mistake transitioning from these 2 steps.
\(8\left(\frac{1}{2}y+1\right)-3=5+4y\)
\(4+8-3=5+4y\)
Upon distributing the 8 to both terms in the parentheses, you forgot to preserve the linear term (the y). Therefore, the line should be:
\(4\textcolor{red}{y}+8-3=5+4y\)
If you continue solving from here, you will get \(0=0\), which means that all solutions are valid.
