5y+2(y+3)=35-2(y-3)

Solution for 5y+2(y+3)=35-2(y-3) equation:

Simplifying
5y + 2(y + 3) = 35 + -2(y + -3)

Reorder the terms:
5y + 2(3 + y) = 35 + -2(y + -3)
5y + (3 * 2 + y * 2) = 35 + -2(y + -3)
5y + (6 + 2y) = 35 + -2(y + -3)

Reorder the terms:
6 + 5y + 2y = 35 + -2(y + -3)

Combine like terms: 5y + 2y = 7y
6 + 7y = 35 + -2(y + -3)

Reorder the terms:
6 + 7y = 35 + -2(-3 + y)
6 + 7y = 35 + (-3 * -2 + y * -2)
6 + 7y = 35 + (6 + -2y)

Combine like terms: 35 + 6 = 41
6 + 7y = 41 + -2y

Solving
6 + 7y = 41 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + 7y + 2y = 41 + -2y + 2y

Combine like terms: 7y + 2y = 9y
6 + 9y = 41 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 9y = 41 + 0
6 + 9y = 41

Add '-6' to each side of the equation.
6 + -6 + 9y = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 41 + -6
9y = 41 + -6

Combine like terms: 41 + -6 = 35
9y = 35

Divide each side by '9'.
y = 3.888888889

Simplifying
y = 3.888888889