-6(t-4)-(t+1)=10

Solution for -6(t-4)-(t+1)=10 equation:

Simplifying
-6(t + -4) + -1(t + 1) = 10

Reorder the terms:
-6(-4 + t) + -1(t + 1) = 10
(-4 * -6 + t * -6) + -1(t + 1) = 10
(24 + -6t) + -1(t + 1) = 10

Reorder the terms:
24 + -6t + -1(1 + t) = 10
24 + -6t + (1 * -1 + t * -1) = 10
24 + -6t + (-1 + -1t) = 10

Reorder the terms:
24 + -1 + -6t + -1t = 10

Combine like terms: 24 + -1 = 23
23 + -6t + -1t = 10

Combine like terms: -6t + -1t = -7t
23 + -7t = 10

Solving
23 + -7t = 10

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -7t = 10 + -23

Combine like terms: 23 + -23 = 0
0 + -7t = 10 + -23
-7t = 10 + -23

Combine like terms: 10 + -23 = -13
-7t = -13

Divide each side by '-7'.
t = 1.857142857

Simplifying
t = 1.857142857