Hi!
Solve for d.
[tex]12y+d=-19y+t[/tex]
Subtract by 12y from both sides.
[tex]12y+d-12y=-19y+t-12y[/tex]
[tex]Answer---> d=-31y+t[/tex]
Solve for y.
Add 19y from both sides.
[tex]d+12y+19y=t-19y+19y[/tex]
[tex]d+31y=t[/tex]
Add d from both sides
[tex]d+31y+-d=t+-d[/tex]
[tex]31y=-d+t[/tex]
Divide by 31 from both sides.
[tex]\frac{31y}{31}=\frac{-d+t}{31}[/tex]
[tex]Answer ----> y=\frac{-1}{31} d+\frac{1}{31}t[/tex]
Hope this helps!
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Have a great day!
-Charlie