Solve Linear Equation: 12y+4y+5-3=2y for Variable y

Question

$12y+4y+5-3=2y$

$y=\text{?}$

00:00 Solve

00:03 Collect terms

00:14 Isolate the unknown Y

00:29 Reduce what we can

00:35 Isolate the unknown Y

00:46 Factor 14 into terms 7 and 2

00:55 Reduce what we can

01:00 And this is the solution to the question

To solve the equation $12y + 4y + 5 - 3 = 2y$ , we'll follow these steps:

**Step 1**: Simplify the left side of the equation by combining like terms: $12y + 4y = 16y$ .
**Step 2**: Replace that in the equation: $16y + 5 - 3 = 2y$ . Simplify further to $16y + 2 = 2y$ .
**Step 3**: Isolate $y$ by getting all the terms involving $y$ on one side. Subtract $2y$ from both sides, yielding: $16y - 2y = -2$ .
**Step 4**: This simplifies to $14y = -2$ .
**Step 5**: Divide each side by 14 to solve for $y$ : $y = \frac{-2}{14}$ .
**Step 6**: Simplify the fraction: $y = -\frac{1}{7}$ .

Therefore, the solution to the problem is $y = -\frac{1}{7}$ .

$-\frac{1}{7}$