Certainly! Let's solve the given equation step by step to find the value of [tex]\( y \)[/tex] when [tex]\( x = -30 \)[/tex].
The given equation is:
[tex]\[ -2x - 3y = 42 \][/tex]
### Step 1: Substitute [tex]\( x = -30 \)[/tex] into the equation
[tex]\[ -2(-30) - 3y = 42 \][/tex]
### Step 2: Simplify the equation
[tex]\[ 60 - 3y = 42 \][/tex]
### Step 3: Isolate the term involving [tex]\( y \)[/tex]
Subtract 60 from both sides of the equation:
[tex]\[ -3y = 42 - 60 \][/tex]
### Step 4: Simplify the right-hand side
[tex]\[ -3y = -18 \][/tex]
### Step 5: Solve for [tex]\( y \)[/tex]
Divide both sides by [tex]\(-3\)[/tex]:
[tex]\[ y = \frac{-18}{-3} \][/tex]
[tex]\[ y = 6 \][/tex]
So, the value of [tex]\( y \)[/tex] when [tex]\( x = -30 \)[/tex] is [tex]\( 6 \)[/tex].
