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Find $y$ value $\newline$ $3(2-y)=y-14$

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Solve linear inequalities

Full solution

Q. Find

y

value

\newline

3(2-y)=y-14

Distribute the $3$ : First, we need to distribute the $3$ on the left side of the equation. $3(2-y) = y-14$ $3\times 2 - 3\times y = y - 14$ $6 - 3y = y - 14$
Rearrange terms: Next, we want to get all the $y$ terms on one side and the constants on the other side. Let's add $3y$ to both sides to move the $y$ terms to the right side. $\newline$ $6 - 3y + 3y = y - 14 + 3y$ $\newline$ $6 = 4y - 14$
Isolate y term: Now, we will add $14$ to both sides to isolate the term with $y$ . $\newline$ $6 + 14 = 4y - 14 + 14$ $\newline$ $20 = 4y$
Solve for y: Finally, we will divide both sides by $4$ to solve for $y$ . $\frac{20}{4} = \frac{4y}{4}$ $5 = y$

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