Solve for Y in the Equation y+10-3y=-150: Linear Equation Practice

To solve the equation $y + 10 - 3y = -150$, follow these steps:

Step 1: Combine like terms on the left side of the equation:

$y + 10 - 3y$ simplifies to $-2y + 10$.

Now the equation is:

$-2y + 10 = -150$.

Step 2: Subtract 10 from both sides to begin isolating $-2y$:

$-2y + 10 - 10 = -150 - 10$.

This simplifies to:

$-2y = -160$.

Step 3: Divide both sides by $-2$ to solve for $y$:

$\frac{-2y}{-2} = \frac{-160}{-2}$.

Thus, $y = 80$.

Therefore, the solution to the problem is $y = 80$.