4t+6=-t+1

Solution for 4t+6=-t+1 equation:

Simplifying
4t + 6 = -1t + 1

Reorder the terms:
6 + 4t = -1t + 1

Reorder the terms:
6 + 4t = 1 + -1t

Solving
6 + 4t = 1 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
6 + 4t + t = 1 + -1t + t

Combine like terms: 4t + t = 5t
6 + 5t = 1 + -1t + t

Combine like terms: -1t + t = 0
6 + 5t = 1 + 0
6 + 5t = 1

Add '-6' to each side of the equation.
6 + -6 + 5t = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 1 + -6
5t = 1 + -6

Combine like terms: 1 + -6 = -5
5t = -5

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

Simplifying
t = -1