y(t+1)-y(t)=3t+2

Solution for y(t+1)-y(t)=3t+2 equation:

Simplifying
y(t + 1) + -1y(t) = 3t + 2

Reorder the terms:
y(1 + t) + -1y(t) = 3t + 2
(1 * y + t * y) + -1y(t) = 3t + 2

Reorder the terms:
(ty + 1y) + -1y(t) = 3t + 2
(ty + 1y) + -1y(t) = 3t + 2

Multiply y * t
ty + 1y + -1ty = 3t + 2

Reorder the terms:
ty + -1ty + 1y = 3t + 2

Combine like terms: ty + -1ty = 0
0 + 1y = 3t + 2
1y = 3t + 2

Reorder the terms:
1y = 2 + 3t

Solving
1y = 2 + 3t

Solving for variable 'y'.

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

Divide each side by '1'.
y = 2 + 3t

Simplifying
y = 2 + 3t