-4y+6=-5y+1

Solution for -4y+6=-5y+1 equation:

Simplifying
-4y + 6 = -5y + 1

Reorder the terms:
6 + -4y = -5y + 1

Reorder the terms:
6 + -4y = 1 + -5y

Solving
6 + -4y = 1 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6 + -4y + 5y = 1 + -5y + 5y

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

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

Add '-6' to each side of the equation.
6 + -6 + 1y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 1 + -6
1y = 1 + -6

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

Divide each side by '1'.
y = -5

Simplifying
y = -5