$$(3.6x-60)-\frac{(7y+24y)}{7}=170$$
$x=\frac{155y}{126}+\frac{575}{9}$
$$25.2x-420-\left(7y+24y\right)=1190$$
$$25.2x-420-31y=1190$$
$$25.2x-31y=1190+420$$
$$25.2x-31y=1610$$
$$25.2x=1610+31y$$
$$25.2x=31y+1610$$
$$\frac{25.2x}{25.2}=\frac{31y+1610}{25.2}$$
$$x=\frac{31y+1610}{25.2}$$
$$x=\frac{155y}{126}+\frac{575}{9}$$
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$y=\frac{126x}{155}-\frac{1610}{31}$
$$-420-31y=1190-25.2x$$
$$-31y=1190-25.2x+420$$
$$-31y=1610-25.2x$$
$$-31y=-\frac{126x}{5}+1610$$
$$\frac{-31y}{-31}=\frac{-\frac{126x}{5}+1610}{-31}$$
$$y=\frac{-\frac{126x}{5}+1610}{-31}$$
$$y=\frac{126x}{155}-\frac{1610}{31}$$