2(y+3)=-2(7y-9)+8y

Solution for 2(y+3)=-2(7y-9)+8y equation:

Simplifying
2(y + 3) = -2(7y + -9) + 8y

Reorder the terms:
2(3 + y) = -2(7y + -9) + 8y
(3 * 2 + y * 2) = -2(7y + -9) + 8y
(6 + 2y) = -2(7y + -9) + 8y

Reorder the terms:
6 + 2y = -2(-9 + 7y) + 8y
6 + 2y = (-9 * -2 + 7y * -2) + 8y
6 + 2y = (18 + -14y) + 8y

Combine like terms: -14y + 8y = -6y
6 + 2y = 18 + -6y

Solving
6 + 2y = 18 + -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 = 18 + -6y + 6y

Combine like terms: 2y + 6y = 8y
6 + 8y = 18 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 8y = 18 + 0
6 + 8y = 18

Add '-6' to each side of the equation.
6 + -6 + 8y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 18 + -6
8y = 18 + -6

Combine like terms: 18 + -6 = 12
8y = 12

Divide each side by '8'.
y = 1.5

Simplifying
y = 1.5