Solve for y. Assume the equation has a solution for y. {:[12 y+d=-19 y+t],[y=◻]:}

Identify the system: Identify the system of equations and the goal. We have the system of equations: 1) 12y + d = -19y + t 2) y = ◻ (we need to find the value of y)Combine like terms: Combine like terms to isolate y. Add 19y to both sides of the first equation to get y terms on one side: 12y + 19y + d = t 31y + d = tIsolate y: Isolate y by subtracting d from both sides. 31y = t - dDivide both sides: Divide both sides by 31 to solve for y. y = (t - d) / 31

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Solve for
y.
Assume the equation has a solution for
y.

{:[12 y+d=-19 y+t],[y=◻]:}

Solve for $y$ . $\newline$ Assume the equation has a solution for $y$ . $\newline$ $\begin{array}{l} 12 y+d=-19 y+t \\ y=\square \end{array}$

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Math Problems

Algebra 1

Rearrange multi-variable equations

Full solution

Q. Solve for

y

\newline

Assume the equation has a solution for

y

\newline

\begin{array}{l} 12 y+d=-19 y+t \\ y=\square \end{array}

Identify the system: Identify the system of equations and the goal. $\newline$ We have the system of equations: $\newline$ $1$ ) $12y + d = -19y + t$ $\newline$ $2$ ) $y = \square$ (we need to find the value of $y$ )
Combine like terms: Combine like terms to isolate $y$ . Add $19y$ to both sides of the first equation to get $y$ terms on one side: $\newline$ $12y + 19y + d = t$ $\newline$ $31y + d = t$
Isolate y: Isolate y by subtracting $d$ from both sides. $\newline$ $31y = t - d$
Divide both sides: Divide both sides by $31$ to solve for $y$ . $\newline$ $y = \frac{t - d}{31}$