3=4(t+19)-1

Solution for 3=4(t+19)-1 equation:

Simplifying
3 = 4(t + 19) + -1

Reorder the terms:
3 = 4(19 + t) + -1
3 = (19 * 4 + t * 4) + -1
3 = (76 + 4t) + -1

Reorder the terms:
3 = 76 + -1 + 4t

Combine like terms: 76 + -1 = 75
3 = 75 + 4t

Solving
3 = 75 + 4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4t' to each side of the equation.
3 + -4t = 75 + 4t + -4t

Combine like terms: 4t + -4t = 0
3 + -4t = 75 + 0
3 + -4t = 75

Add '-3' to each side of the equation.
3 + -3 + -4t = 75 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 75 + -3
-4t = 75 + -3

Combine like terms: 75 + -3 = 72
-4t = 72

Divide each side by '-4'.
t = -18

Simplifying
t = -18