2y+6+3p=y+5p-6

Solution for 2y+6+3p=y+5p-6 equation:

Simplifying
2y + 6 + 3p = y + 5p + -6

Reorder the terms:
6 + 3p + 2y = y + 5p + -6

Reorder the terms:
6 + 3p + 2y = -6 + 5p + y

Solving
6 + 3p + 2y = -6 + 5p + y

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + 3p + -5p + 2y = -6 + 5p + -5p + y

Combine like terms: 3p + -5p = -2p
6 + -2p + 2y = -6 + 5p + -5p + y

Combine like terms: 5p + -5p = 0
6 + -2p + 2y = -6 + 0 + y
6 + -2p + 2y = -6 + y

Add '-6' to each side of the equation.
6 + -2p + -6 + 2y = -6 + -6 + y

Reorder the terms:
6 + -6 + -2p + 2y = -6 + -6 + y

Combine like terms: 6 + -6 = 0
0 + -2p + 2y = -6 + -6 + y
-2p + 2y = -6 + -6 + y

Combine like terms: -6 + -6 = -12
-2p + 2y = -12 + y

Add '-2y' to each side of the equation.
-2p + 2y + -2y = -12 + y + -2y

Combine like terms: 2y + -2y = 0
-2p + 0 = -12 + y + -2y
-2p = -12 + y + -2y

Combine like terms: y + -2y = -1y
-2p = -12 + -1y

Divide each side by '-2'.
p = 6 + 0.5y

Simplifying
p = 6 + 0.5y