Problem

Solve for $y$. \[ 3 y+6=-2(y+2) \] Simplify your answer as much as possible.

Solution

Step 1 :The given equation is \(3y + 6 = -2(y + 2)\).

Step 2 :First, distribute the -2 on the right side of the equation to get \(3y + 6 = -2y - 4\).

Step 3 :Next, combine like terms to get \(5y + 6 = -4\).

Step 4 :Then, subtract 6 from both sides to isolate y, resulting in \(5y = -10\).

Step 5 :Finally, divide both sides by 5 to solve for y, giving the solution \(y = \boxed{-2}\).

From Solvely APP
Source: https://solvelyapp.com/problems/rhN98eWZ1j/

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