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

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

Simplifying
2y + 3(y + -6) = 6y + -3(y + -10)

Reorder the terms:
2y + 3(-6 + y) = 6y + -3(y + -10)
2y + (-6 * 3 + y * 3) = 6y + -3(y + -10)
2y + (-18 + 3y) = 6y + -3(y + -10)

Reorder the terms:
-18 + 2y + 3y = 6y + -3(y + -10)

Combine like terms: 2y + 3y = 5y
-18 + 5y = 6y + -3(y + -10)

Reorder the terms:
-18 + 5y = 6y + -3(-10 + y)
-18 + 5y = 6y + (-10 * -3 + y * -3)
-18 + 5y = 6y + (30 + -3y)

Reorder the terms:
-18 + 5y = 30 + 6y + -3y

Combine like terms: 6y + -3y = 3y
-18 + 5y = 30 + 3y

Solving
-18 + 5y = 30 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-18 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-18 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 0
-18 + 2y = 30 + 0
-18 + 2y = 30

Add '18' to each side of the equation.
-18 + 18 + 2y = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = 30 + 18
2y = 30 + 18

Combine like terms: 30 + 18 = 48
2y = 48

Divide each side by '2'.
y = 24

Simplifying
y = 24