10y+6-p=12p-3(p-2)

Solution for 10y+6-p=12p-3(p-2) equation:

Simplifying
10y + 6 + -1p = 12p + -3(p + -2)

Reorder the terms:
6 + -1p + 10y = 12p + -3(p + -2)

Reorder the terms:
6 + -1p + 10y = 12p + -3(-2 + p)
6 + -1p + 10y = 12p + (-2 * -3 + p * -3)
6 + -1p + 10y = 12p + (6 + -3p)

Reorder the terms:
6 + -1p + 10y = 6 + 12p + -3p

Combine like terms: 12p + -3p = 9p
6 + -1p + 10y = 6 + 9p

Add '-6' to each side of the equation.
6 + -1p + -6 + 10y = 6 + -6 + 9p

Reorder the terms:
6 + -6 + -1p + 10y = 6 + -6 + 9p

Combine like terms: 6 + -6 = 0
0 + -1p + 10y = 6 + -6 + 9p
-1p + 10y = 6 + -6 + 9p

Combine like terms: 6 + -6 = 0
-1p + 10y = 0 + 9p
-1p + 10y = 9p

Solving
-1p + 10y = 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-1p + -9p + 10y = 9p + -9p

Combine like terms: -1p + -9p = -10p
-10p + 10y = 9p + -9p

Combine like terms: 9p + -9p = 0
-10p + 10y = 0

Add '-10y' to each side of the equation.
-10p + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
-10p + 0 = 0 + -10y
-10p = 0 + -10y
Remove the zero:
-10p = -10y

Divide each side by '-10'.
p = y

Simplifying
p = y