2(y+p)=3p+s

Solution for 2(y+p)=3p+s equation:

Simplifying
2(y + p) = 3p + s

Reorder the terms:
2(p + y) = 3p + s
(p * 2 + y * 2) = 3p + s
(2p + 2y) = 3p + s

Solving
2p + 2y = 3p + s

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
2p + -3p + 2y = 3p + -3p + s

Combine like terms: 2p + -3p = -1p
-1p + 2y = 3p + -3p + s

Combine like terms: 3p + -3p = 0
-1p + 2y = 0 + s
-1p + 2y = s

Add '-2y' to each side of the equation.
-1p + 2y + -2y = s + -2y

Combine like terms: 2y + -2y = 0
-1p + 0 = s + -2y
-1p = s + -2y

Divide each side by '-1'.
p = -1s + 2y

Simplifying
p = -1s + 2y