y = 1

Explanation:

We convert the numbers from the binary system to a decimal system:

$101_2=1\cdot2^2+0\cdot2^1+1\cdot2^0=4+0+1=5_(10)\\\\11_2=1\cdot2^1+1\cdot2^0=2+1=3_(10)\\\\10010_2=1\cdot2^4+0\cdot2^3+0\cdot2^2+1\cdot2^1+0\cdot2^0=16+0+0+2+0=18_(10)$

Therefore we have

$(y_2)/(y_2+101_2)=(11_2)/(10010_2)\Rightarrow(y)/(y+5)=(3)/(18)\qquad\text{cross multiply}\\\\18y=3(y+5)\qquad\text{use the distributive property}\\\\18y=3y+15\qquad\text{subreact}\ 3y\ \text{from both sides}\\\\15y=15\qquad\text{divide both sides by 15}\\\\y=1_(10)\Rightarrow y_2=1\cdot2^0=1_2$

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y = 1

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