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$2(4r+6)=\dfrac{2}{3}(12r+18)$

MultEqn$\text{LHS} \cdot 3=\text{RHS}\cdot 3$

$6(4r+6)=2(12r+18)$

DistrDistribute $6$

$24r+36=2(12r+18)$

DistrDistribute $2$

$24r+36=24r+36$

b

c

$8y-(2y-3)=12$

RemoveParSignsRemove parentheses and change signs

$8y-2y+3=12$

SubTermSubtract term

$6y+3=12$

SubEqn$\text{LHS}-3=\text{RHS}-3$

$6y=9$

DivEqn$\left.\text{LHS}\middle/6\right.=\left.\text{RHS}\middle/6\right.$

$y=\dfrac{9}{6}$