5y-3(y-2)=6(y-1)

Solution for 5y-3(y-2)=6(y-1) equation:

Simplifying
5y + -3(y + -2) = 6(y + -1)

Reorder the terms:
5y + -3(-2 + y) = 6(y + -1)
5y + (-2 * -3 + y * -3) = 6(y + -1)
5y + (6 + -3y) = 6(y + -1)

Reorder the terms:
6 + 5y + -3y = 6(y + -1)

Combine like terms: 5y + -3y = 2y
6 + 2y = 6(y + -1)

Reorder the terms:
6 + 2y = 6(-1 + y)
6 + 2y = (-1 * 6 + y * 6)
6 + 2y = (-6 + 6y)

Solving
6 + 2y = -6 + 6y

Solving for variable 'y'.

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

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

Combine like terms: 2y + -6y = -4y
6 + -4y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = -6 + 0
6 + -4y = -6

Add '-6' to each side of the equation.
6 + -6 + -4y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -6 + -6
-4y = -6 + -6

Combine like terms: -6 + -6 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3