(.5(t-1))+(.25(t+5))=.5

Solution for (.5(t-1))+(.25(t+5))=.5 equation:

Simplifying
(0.5(t + -1)) + (0.25(t + 5)) = 0.5

Reorder the terms:
(0.5(-1 + t)) + (0.25(t + 5)) = 0.5
((-1 * 0.5 + t * 0.5)) + (0.25(t + 5)) = 0.5
((-0.5 + 0.5t)) + (0.25(t + 5)) = 0.5
(-0.5 + 0.5t) + (0.25(t + 5)) = 0.5

Remove parenthesis around (-0.5 + 0.5t)
-0.5 + 0.5t + (0.25(t + 5)) = 0.5

Reorder the terms:
-0.5 + 0.5t + (0.25(5 + t)) = 0.5
-0.5 + 0.5t + ((5 * 0.25 + t * 0.25)) = 0.5
-0.5 + 0.5t + ((1.25 + 0.25t)) = 0.5
-0.5 + 0.5t + (1.25 + 0.25t) = 0.5

Remove parenthesis around (1.25 + 0.25t)
-0.5 + 0.5t + 1.25 + 0.25t = 0.5

Reorder the terms:
-0.5 + 1.25 + 0.5t + 0.25t = 0.5

Combine like terms: -0.5 + 1.25 = 0.75
0.75 + 0.5t + 0.25t = 0.5

Combine like terms: 0.5t + 0.25t = 0.75t
0.75 + 0.75t = 0.5

Solving
0.75 + 0.75t = 0.5

Solving for variable 't'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 0.75t = 0.5 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.75t = 0.5 + -0.75
0.75t = 0.5 + -0.75

Combine like terms: 0.5 + -0.75 = -0.25
0.75t = -0.25

Divide each side by '0.75'.
t = -0.3333333333

Simplifying
t = -0.3333333333