(x+1)(y+z)=xy+xz+y+z

Solution for (x+1)(y+z)=xy+xz+y+z equation:

Simplifying
(x + 1)(y + z) = xy + xz + y + z

Reorder the terms:
(1 + x)(y + z) = xy + xz + y + z

Multiply (1 + x) * (y + z)
(1(y + z) + x(y + z)) = xy + xz + y + z
((y * 1 + z * 1) + x(y + z)) = xy + xz + y + z
((1y + 1z) + x(y + z)) = xy + xz + y + z
(1y + 1z + (y * x + z * x)) = xy + xz + y + z
(1y + 1z + (xy + xz)) = xy + xz + y + z

Reorder the terms:
(xy + xz + 1y + 1z) = xy + xz + y + z
(xy + xz + 1y + 1z) = xy + xz + y + z

Add '-1xy' to each side of the equation.
xy + xz + 1y + -1xy + 1z = xy + xz + y + -1xy + z

Reorder the terms:
xy + -1xy + xz + 1y + 1z = xy + xz + y + -1xy + z

Combine like terms: xy + -1xy = 0
0 + xz + 1y + 1z = xy + xz + y + -1xy + z
xz + 1y + 1z = xy + xz + y + -1xy + z

Reorder the terms:
xz + 1y + 1z = xy + -1xy + xz + y + z

Combine like terms: xy + -1xy = 0
xz + 1y + 1z = 0 + xz + y + z
xz + 1y + 1z = xz + y + z

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

Reorder the terms:
xz + -1xz + 1y + 1z = xz + y + -1xz + z

Combine like terms: xz + -1xz = 0
0 + 1y + 1z = xz + y + -1xz + z
1y + 1z = xz + y + -1xz + z

Reorder the terms:
1y + 1z = xz + -1xz + y + z

Combine like terms: xz + -1xz = 0
1y + 1z = 0 + y + z
1y + 1z = y + z

Solving
1y + 1z = y + z

Solving for variable 'y'.

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

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

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

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

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

Combine like terms: 1z + -1z = 0
0 = z + -1z

Combine like terms: z + -1z = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.