Solve for y. (9)/(4)y-12=(1)/(4)y-4 y=

Isolate variable y: First, we need to isolate the variable y on one side of the equation. To do this, we will subtract (1/4)y from both sides to get all the y terms on one side. (9/4)y - (1/4)y - 12 = (1/4)y - (1/4)y - 4Simplify left side: Now, we simplify the left side by combining like terms. (9/4)y - (1/4)y = (8/4)y (8/4)y - 12 = -4Rewrite equation: Since (8/4)y simplifies to 2y, we rewrite the equation as: 2y - 12 = -4Isolate term with y: Next, we will add 12 to both sides of the equation to isolate the term with y. 2y - 12 + 12 = -4 + 12 2y = 8Solve for y: Finally, we divide both sides by 2 to solve for y. 2y / 2 = 8 / 2 y = 4

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Solve for
y.

(9)/(4)y-12=(1)/(4)y-4

y=

Solve for $y$ . $\newline$ $\begin{array}{l} \frac{9}{4} y-12=\frac{1}{4} y-4 \\ y=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

y

\newline

\begin{array}{l} \frac{9}{4} y-12=\frac{1}{4} y-4 \\ y=\square \end{array}

Isolate variable y: First, we need to isolate the variable y on one side of the equation. To do this, we will subtract $(\frac{1}{4})y$ from both sides to get all the y terms on one side. $\newline$ $\left(\frac{9}{4}\right)y - \left(\frac{1}{4}\right)y - 12 = \left(\frac{1}{4}\right)y - \left(\frac{1}{4}\right)y - 4$
Simplify left side: Now, we simplify the left side by combining like terms. $\newline$ $(\frac{9}{4})y - (\frac{1}{4})y = (\frac{8}{4})y$ $\newline$ $(\frac{8}{4})y - 12 = -4$
Rewrite equation: Since $(\frac{8}{4})y$ simplifies to $2y$ , we rewrite the equation as: $2y - 12 = -4$
Isolate term with y: Next, we will add $12$ to both sides of the equation to isolate the term with $y$ . $\newline$ $2y - 12 + 12 = -4 + 12$ $\newline$ $2y = 8$
Solve for y: Finally, we divide both sides by $2$ to solve for y. $\newline$ $\frac{2y}{2} = \frac{8}{2}$ $\newline$ $y = 4$