20+(x+y)-(x+5y)=

Solution for 20+(x+y)-(x+5y)= equation:

Simplifying
20 + (x + y) + -1(x + 5y) = 0

Remove parenthesis around (x + y)
20 + x + y + -1(x + 5y) = 0
20 + x + y + (x * -1 + 5y * -1) = 0
20 + x + y + (-1x + -5y) = 0

Reorder the terms:
20 + x + -1x + y + -5y = 0

Combine like terms: x + -1x = 0
20 + 0 + y + -5y = 0
20 + y + -5y = 0

Combine like terms: y + -5y = -4y
20 + -4y = 0

Solving
20 + -4y = 0

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + -4y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4y = 0 + -20
-4y = 0 + -20

Combine like terms: 0 + -20 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5