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

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

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

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

Combine like terms: 2y + -6y = -4y
6 + -4y = -5(2 + y)
6 + -4y = (2 * -5 + y * -5)
6 + -4y = (-10 + -5y)

Solving
6 + -4y = -10 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6 + -4y + 5y = -10 + -5y + 5y

Combine like terms: -4y + 5y = 1y
6 + 1y = -10 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 1y = -10 + 0
6 + 1y = -10

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

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

Combine like terms: -10 + -6 = -16
1y = -16

Divide each side by '1'.
y = -16

Simplifying
y = -16