Questions: Solve for y. 4(y+2)-6 y=2 Simplify your answer as much as possible. y=

Transcript text: Solve for $y$. \[ 4(y+2)-6 y=2 \] Simplify your answer as much as possible. \[ y= \]

Solution

Step 1: Distribute the 4

Start by distributing the 4 across the terms inside the parentheses:

\[ 4(y + 2) = 4y + 8 \]

Step 2: Substitute into the Equation

Substitute the distributed expression back into the original equation:

\[ 4y + 8 - 6y = 2 \]

Step 3: Combine Like Terms

Combine the $y$ terms on the left side of the equation:

\[ 4y - 6y + 8 = 2 \]

This simplifies to:

\[ -2y + 8 = 2 \]

Step 4: Isolate the $y$ Term

Subtract 8 from both sides to isolate the $y$ term:

\[ -2y = 2 - 8 \]

\[ -2y = -6 \]

Step 5: Solve for $y$

Divide both sides by $-2$ to solve for $y$:

\[ y = \frac{-6}{-2} \]

\[ y = 3 \]

\[ \boxed{y = 3} \]

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