To isolate $y$, we need to perform the opposite of adding $9$ to $z$, which is subtracting $9$ from $z.$ Remember to perform the same operation on the right-hand side.

\[ \eqalign{ z +9 &=24 \\[3pt] z +9 - 9 &=24 - 9 \\[3pt] z + 0 &= 15 \\[3pt] z &=15 } \]

To isolate $q$, we need to perform the opposite of adding $6$ to $q$, which is subtracting $6$ from $q.$ Remember to perform the same operation on the right-hand side.

\begin{eqnarray} \eqalign{ q + 6 & = 7 \\[3pt] q + 6 - 6 & = 7 - 6 \\[3pt] q + 0 & = 1 \\[3pt] q &=1 } \end{eqnarray}

First, let's rewrite the left-hand side so that the first term contains the variable.

$$x-5 = 54$$

To isolate $x$, we need to perform the opposite of subtracting $5$ from $x$, which is adding $5$ to $x.$ Remember to perform the same operation on the right-hand side.

\begin{eqnarray} \eqalign{ x-5 &= 54 \\[3pt] x-5+5 &= 54 + 5 \\[3pt] x + 0 &= 59 \\[3pt] x &= 59 } \end{eqnarray}

To isolate $x$, we need to perform the opposite of subtracting $17$ from $x$, which is adding $17$ to $x.$ Remember to perform the same operation on the right-hand side.

\[ \eqalign{ x-17 &= 4 \\[3pt] x-17+17 &= 4+17 \\[3pt] x+0 &= 21 \\[3pt] x &= 21 } \]

First, let's swap the left and right-hand sides so that the variable is on the left-hand side.

\[ t-11=-25 \]

To isolate $t$, we need to perform the opposite of subtracting $11$ from $t$, which is adding $11$ to $t.$ Remember to perform the same operation on the right-hand side.

\[ \eqalign{ t-11&=-25\\[3pt] t-11+11&=-25+11\\[3pt] t+0&=-14\\[3pt] t&=-14 } \]

First, let's swap the left and right-hand sides so that the variable is on the left-hand side.

\[ m-10=-15 \]

To isolate $m$, we need to perform the opposite of subtracting $10$ from $m$, which is adding $10$ to $m.$ Remember to perform the same operation on the right-hand side.

\[ \eqalign{ m-10&=-15 \\[3pt] m-10+10 &= -15+10 \\[3pt] m + 0 &= -5 \\[3pt] m &= -5 } \]

First, let's swap the left and right-hand sides so that the variable is on the left-hand side.

\begin{align*} 1.8&=w-4.7\\[3pt] w-4.7&=1.8 \end{align*}

To isolate $w$, we need to perform the opposite of subtracting $4.7$ from $w$, which is adding $4.7$ to $w.$ Remember to perform the same operation on the right-hand side.

\begin{align*} w-4.7&=1.8\\[3pt] w-4.7+4.7&=1.8+4.7\\[3pt] w+0&=6.5\\[3pt] w&=6.5 \end{align*}

First, let's swap the left and right-hand sides so that the variable is on the left-hand side.

\begin{align*} \dfrac{5}{6} &= z - \dfrac{1}{3} \\[5pt] z - \dfrac{1}{3} &= \dfrac{5}{6} \end{align*}

To isolate $z$, we need to perform the opposite of subtracting $\dfrac{1}{3}$ from $z$, which is adding $\dfrac{1}{3}$ to $z.$ Remember to perform the same operation on the right-hand side.

\begin{align*} z - \dfrac{1}{3} &= \dfrac{5}{6} \\[5pt] z - \dfrac{1}{3} + \dfrac{1}{3} &= \dfrac{5}{6}+\dfrac{1}{3} \\[5pt] z+0 &= \dfrac{5}{6} + \dfrac{2}{6} \\[5pt] z&=\dfrac{5+2}{6} \\[5pt] z&=\dfrac{7}{6} \end{align*}