Solve the Linear Equation: 3(y-2)+2(y+3)=180

To solve this equation, we follow these steps:

• Step 1: Distribute the coefficients within the parentheses.
• Step 2: Combine like terms.
• Step 3: Rearrange the equation to isolate and solve for $y$.

Let's apply these steps to solve the equation $3(y-2)+2(y+3)=180$:

Step 1: Distribute the terms:
$3(y-2) + 2(y+3) = 3y - 6 + 2y + 6$.

Step 2: Combine like terms:
Combine the $y$ terms and the constant terms: $3y + 2y - 6 + 6 = 5y$.
Thus, the equation simplifies to $5y = 180$.

Step 3: Solve for $y$:
To find $y$, divide both sides by 5:
$5y / 5 = 180 / 5$, which simplifies to $y = 36$.

Therefore, the solution to the equation is $y = 36$.