Question

Solve the inequality: 2[(2y-1)+y] less than or equal to 5(y+3)

Answer 1

$2[(2y-1)+y]\leq5(y+3)\\\\2(2y-1+y)\leq5(y+3)\\\\2(3y-1)\leq5(y+3)\ \ \ |use\ distributive\ property:a(b\pm c)=ab\pm ac\\\\2(3y)-2(1)\leq5(y)+5(3)\\\\6y-2\leq5y+15\ \ \ |add\ 2\ to\ both\ sides\\\\6y\leq5y+17\ \ \ \ |subtract\ 5y\ from\ both\ sides\\\\\huge\boxed{y\leq17\to y\in(-\infty;\ 17]}$