Question

solve for y.
15y - 12y + 18 > -12 + 6y
write your answer with y first, followed by an inequality symbol.

Explanation:

Step1: Simplify left - hand side

Combine like terms: $15y - 12y=3y$, so the inequality becomes $3y + 18>-12 + 6y$.

Step2: Move y terms to one side

Subtract $3y$ from both sides: $3y+18-3y>-12 + 6y-3y$, which simplifies to $18>-12 + 3y$.

Step3: Move constant to the other side

Add 12 to both sides: $18 + 12>-12+3y + 12$, resulting in $30>3y$.

Step4: Solve for y

Divide both sides by 3: $\frac{30}{3}>\frac{3y}{3}$, so $y < 10$.

Answer:

$y<10$