Solve Linear Equation: Finding Y in 2y-5y+12+30=0

Question

$2y+12-5y+30=0$

$y=\text{?}$

00:00 Solve

00:03 We want to isolate the unknown Y

00:07 Let's group terms

00:14 Let's arrange the equation so that one side has only the unknown Y

00:23 Let's isolate the unknown Y

00:34 And this is the solution to the question

To solve the equation $2y + 12 - 5y + 30 = 0$ , follow these steps:

Step 1: Simplify the equation by combining like terms.
Combine the $y$ terms and the constant terms:
$2y - 5y + 12 + 30 = 0$
Step 2: Calculate the combined terms.
$2y - 5y = -3y$
$12 + 30 = 42$
Thus, the equation becomes:
$-3y + 42 = 0$
Step 3: Isolate the variable $y$ .
Subtract 42 from both sides to get:
$-3y = -42$
Step 4: Solve for $y$ by dividing both sides by $-3$ :
$y = \frac{-42}{-3}$
Step 5: Simplify the fraction:
$y = 14$

Therefore, the solution to the equation is $y = 14$ .

$14$