Desired consumption, desired investment, and government spending in a closed economy are \\[ \\begin{array}{l} \\mathrm{Cd}=160 \\cdot 100 r+0.1 Y \\\\ \\mathrm{Id}=20 \\cdot 400 \\mathrm{r} \\\\ \\mathrm{G}=110 \\end{array} \\] What value of the real interest rate clears the goods market when \\( Y=50 \\) ? Desired consumption, desired investment, and government spending in a closed economy are \\[ \\begin{array}{l} \\mathrm{Cd}=160 \\cdot 100 r+0.1 Y \\\\ \\mathrm{Id}=20 \\cdot 400 \\mathrm{r} \\\\ \\mathrm{G}=110 \\end{array} \\] What value of the real interest rate clears the goods market when \\( Y=50 \\)