4y+6=-y+1

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

Simplifying
4y + 6 = -1y + 1

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

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

Solving
6 + 4y = 1 + -1y

Solving for variable 'y'.

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

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

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

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

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

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

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

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

Simplifying
y = -1