Sure! Let's solve the equation [tex]\( 21 - 3y = 36 - 6y \)[/tex] step by step to find the value of [tex]\( y \)[/tex].
1. Start with the given equation:
[tex]\[
21 - 3y = 36 - 6y
\][/tex]
2. Add [tex]\( 6y \)[/tex] to both sides of the equation to get all the [tex]\( y \)[/tex] terms on one side:
[tex]\[
21 - 3y + 6y = 36 - 6y + 6y
\][/tex]
3. Simplify the equation:
[tex]\[
21 + 3y = 36
\][/tex]
4. Subtract 21 from both sides of the equation to isolate the term with [tex]\( y \)[/tex]:
[tex]\[
21 + 3y - 21 = 36 - 21
\][/tex]
5. Simplify:
[tex]\[
3y = 15
\][/tex]
6. Divide both sides by 3 to solve for [tex]\( y \)[/tex]:
[tex]\[
y = \frac{15}{3}
\][/tex]
7. Simplify:
[tex]\[
y = 5
\][/tex]
Therefore, the solution to the equation [tex]\( 21 - 3y = 36 - 6y \)[/tex] is [tex]\( y = 5 \)[/tex].
