Calculate: 7+4y=-35

Expression: $7+4y=-35$

Move the constant to the right-hand side and change its sign

$4y=-35-7$

Calculate the difference

$4y=-42$

Divide both sides of the equation by $4$

$\begin{align*}&y=-\frac{ 21 }{ 2 } \\&\begin{array} { l }y=-10 \frac{ 1 }{ 2 },& y=-10.5\end{array}\end{align*}$