what is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y - 14\no y=-10\no y=-1\no y = 1\no y = 10

Explanation:

Step1: Combine like - terms on left side

$2.8y+0.2y + 6=5y - 14$ $(2.8 + 0.2)y+6=5y - 14$ $3y+6=5y - 14$

Step2: Move variable terms to one side

Subtract $3y$ from both sides: $3y+6-3y=5y - 14-3y$ $6 = 2y-14$

Step3: Move constant terms to one side

Add 14 to both sides: $6 + 14=2y-14 + 14$ $20=2y$

Step4: Solve for y

Divide both sides by 2: $\frac{20}{2}=\frac{2y}{2}$ $y = 10$

Answer:

$y = 10$