QuestionAugust 25, 2025

Solve for y. -3(y+1)=y-4+2(4y+2) Simplify your answer as much as possible. y= square

Solve for y. -3(y+1)=y-4+2(4y+2) Simplify your answer as much as possible. y= square
Solve for y. -3(y+1)=y-4+2(4y+2) Simplify your answer as much as possible. y= square

Solution
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Answer

y = \frac{1}{12} Explanation 1. Distribute and simplify both sides Expand -3(y+1) to get -3y - 3. Expand 2(4y+2) to get 8y + 4. 2. Combine like terms The equation becomes -3y - 3 = y - 4 + 8y + 4. Simplify the right side to 9y. 3. Move all terms involving y to one side Add 3y to both sides: -3 = 12y - 4. 4. Isolate y Add 4 to both sides: 1 = 12y. Divide by 12: y = \frac{1}{12}.

Explanation

1. Distribute and simplify both sides<br /> Expand $-3(y+1)$ to get $-3y - 3$. Expand $2(4y+2)$ to get $8y + 4$.<br /><br />2. Combine like terms<br /> The equation becomes $-3y - 3 = y - 4 + 8y + 4$. Simplify the right side to $9y$.<br /><br />3. Move all terms involving $y$ to one side<br /> Add $3y$ to both sides: $-3 = 12y - 4$.<br /><br />4. Isolate $y$<br /> Add $4$ to both sides: $1 = 12y$. Divide by $12$: $y = \frac{1}{12}$.
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