y(t+1)-2y(t)=5

Solution for y(t+1)-2y(t)=5 equation:

Simplifying
y(t + 1) + -2y(t) = 5

Reorder the terms:
y(1 + t) + -2y(t) = 5
(1 * y + t * y) + -2y(t) = 5

Reorder the terms:
(ty + 1y) + -2y(t) = 5
(ty + 1y) + -2y(t) = 5

Multiply y * t
ty + 1y + -2ty = 5

Reorder the terms:
ty + -2ty + 1y = 5

Combine like terms: ty + -2ty = -1ty
-1ty + 1y = 5

Solving
-1ty + 1y = 5

Solving for variable 't'.

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

Add '-1y' to each side of the equation.
-1ty + 1y + -1y = 5 + -1y

Combine like terms: 1y + -1y = 0
-1ty + 0 = 5 + -1y
-1ty = 5 + -1y

Divide each side by '-1y'.
t = -5y-1 + 1

Simplifying
t = -5y-1 + 1

Reorder the terms:
t = 1 + -5y-1