Question

$\frac{3}{y - 2}=\frac{12}{y + 10}$

Explanation:

Step1: Cross - multiply

$3(y + 10)=12(y - 2)$

Step2: Expand both sides

$3y+30 = 12y-24$

Step3: Move like terms to one side

$30 + 24=12y - 3y$

Step4: Simplify both sides

$54 = 9y$

Step5: Solve for y

$y=\frac{54}{9}=6$

Answer:

$y = 6$