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

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

Simplifying
5y + -2(y + -3) + 6 = 0

Reorder the terms:
5y + -2(-3 + y) + 6 = 0
5y + (-3 * -2 + y * -2) + 6 = 0
5y + (6 + -2y) + 6 = 0

Reorder the terms:
6 + 6 + 5y + -2y = 0

Combine like terms: 6 + 6 = 12
12 + 5y + -2y = 0

Combine like terms: 5y + -2y = 3y
12 + 3y = 0

Solving
12 + 3y = 0

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 3y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = 0 + -12
3y = 0 + -12

Combine like terms: 0 + -12 = -12
3y = -12

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

Simplifying
y = -4