Let's solve the equation to find the value of [tex]\( y \)[/tex].
We are given:
[tex]\[ 3y + 6 = 21 \][/tex]
To solve for [tex]\( y \)[/tex], we follow these steps:
1. Isolate the term with [tex]\( y \)[/tex]:
Subtract 6 from both sides of the equation to move the constant term to the right-hand side:
[tex]\[ 3y + 6 - 6 = 21 - 6 \][/tex]
Simplifies to:
[tex]\[ 3y = 15 \][/tex]
2. Solve for [tex]\( y \)[/tex]:
Divide both sides of the equation by 3 to isolate [tex]\( y \)[/tex]:
[tex]\[ \frac{3y}{3} = \frac{15}{3} \][/tex]
Simplifies to:
[tex]\[ y = 5 \][/tex]
Thus, the value of [tex]\( y \)[/tex] is [tex]\( 5 \)[/tex].
