Sure, let's solve the equation step-by-step.
The given equation is:
[tex]\[ -6 + 2y + y = 3 \][/tex]
1. Combine like terms: The terms [tex]\(2y\)[/tex] and [tex]\(y\)[/tex] are both terms with the variable [tex]\(y\)[/tex], so we can add them together.
[tex]\[ 2y + y = 3y \][/tex]
Substituting [tex]\(3y\)[/tex] for [tex]\(2y + y\)[/tex] in the equation, we get:
[tex]\[ -6 + 3y = 3 \][/tex]
2. Isolate the term with the variable: To isolate [tex]\(3y\)[/tex], we need to get rid of the [tex]\(-6\)[/tex] on the left side. We can do this by adding 6 to both sides of the equation:
[tex]\[ -6 + 3y + 6 = 3 + 6 \][/tex]
Simplifying, we get:
[tex]\[ 3y = 9 \][/tex]
3. Solve for [tex]\(y\)[/tex]: Now, to solve for [tex]\(y\)[/tex], we need to divide both sides of the equation by 3:
[tex]\[ \frac{3y}{3} = \frac{9}{3} \][/tex]
Simplifying, we obtain:
[tex]\[ y = 3 \][/tex]
Therefore, the solution to the equation [tex]\(-6 + 2y + y = 3\)[/tex] is:
[tex]\[ y = 3 \][/tex]
