5r+z+1=y-2r

Solution for 5r+z+1=y-2r equation:

Simplifying
5r + z + 1 = y + -2r

Reorder the terms:
1 + 5r + z = y + -2r

Reorder the terms:
1 + 5r + z = -2r + y

Solving
1 + 5r + z = -2r + y

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
1 + 5r + 2r + z = -2r + 2r + y

Combine like terms: 5r + 2r = 7r
1 + 7r + z = -2r + 2r + y

Combine like terms: -2r + 2r = 0
1 + 7r + z = 0 + y
1 + 7r + z = y

Add '-1' to each side of the equation.
1 + 7r + -1 + z = -1 + y

Reorder the terms:
1 + -1 + 7r + z = -1 + y

Combine like terms: 1 + -1 = 0
0 + 7r + z = -1 + y
7r + z = -1 + y

Add '-1z' to each side of the equation.
7r + z + -1z = -1 + y + -1z

Combine like terms: z + -1z = 0
7r + 0 = -1 + y + -1z
7r = -1 + y + -1z

Divide each side by '7'.
r = -0.1428571429 + 0.1428571429y + -0.1428571429z

Simplifying
r = -0.1428571429 + 0.1428571429y + -0.1428571429z