Solve Linear Equation: 12y+3y-10+7(y-4)=2y Step-by-Step

To solve the equation $12y + 3y - 10 + 7(y - 4) = 2y$, follow these detailed steps:

• Step 1: Apply the distributive property to $7(y - 4)$.

This results in:
$12y + 3y - 10 + 7y - 28 = 2y$.

• Step 2: Combine like terms on the left side of the equation.

Combining terms, we have:
$(12y + 3y + 7y) - 10 - 28 = 2y$
$22y - 38 = 2y$.

• Step 3: Move all terms involving $y$ to one side of the equation and constant terms to the other side.

Subtract $2y$ from both sides:
$22y - 2y = 38$
$20y = 38$.

• Step 4: Solve for $y$ by dividing both sides by 20.

$y = \frac{38}{20} = 1.9$.

Therefore, the solution to the equation is $y = 1.9$.