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

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

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

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

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

Combine like terms: 5y + 2y = 7y
-6 + 6y = -3 + 7y

Solving
-6 + 6y = -3 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-6 + 6y + -7y = -3 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-6 + -1y = -3 + 7y + -7y

Combine like terms: 7y + -7y = 0
-6 + -1y = -3 + 0
-6 + -1y = -3

Add '6' to each side of the equation.
-6 + 6 + -1y = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = -3 + 6
-1y = -3 + 6

Combine like terms: -3 + 6 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3