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Question

Mathematics Question on Reducing Equations to Simpler Form

Simplify and solve the linear equation 15(y4)2(y9)+5(y+6)=015(y-4)-2(y-9)+5(y+6)=0

Answer

15(y4)2(y9)+5(y+6)=015(y-4)-2(y-9)+5(y+6)=0
\Rightarrow 15y602y+18+5y+30=015y - 60 - 2y + 18 + 5y + 30 = 0 (Opening the brackets)
\Rightarrow 18y12=018y - 12 = 0
\Rightarrow 18y=1218y = 12
\Rightarrow y=1218y = \frac{12}{18}
=23\frac{2}{3}