To solve the equation [tex]\(5y = 3y + 12\)[/tex], let's follow these steps:
1. Move all terms involving [tex]\(y\)[/tex] to one side of the equation:
- Subtract [tex]\(3y\)[/tex] from both sides of the equation:
[tex]\[
5y - 3y = 3y + 12 - 3y
\][/tex]
- This simplifies to:
[tex]\[
2y = 12
\][/tex]
2. Solve for [tex]\(y\)[/tex]:
- To isolate [tex]\(y\)[/tex], divide both sides of the equation by 2:
[tex]\[
\frac{2y}{2} = \frac{12}{2}
\][/tex]
- This gives
[tex]\[
y = 6
\][/tex]
Therefore, the solution to the equation [tex]\(5y = 3y + 12\)[/tex] is [tex]\(y = 6\)[/tex].
