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

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

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

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

Combine like terms: 5 + -2 = 3
3 + -6y = 3(2 + -3y)
3 + -6y = (2 * 3 + -3y * 3)
3 + -6y = (6 + -9y)

Solving
3 + -6y = 6 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
3 + -6y + 9y = 6 + -9y + 9y

Combine like terms: -6y + 9y = 3y
3 + 3y = 6 + -9y + 9y

Combine like terms: -9y + 9y = 0
3 + 3y = 6 + 0
3 + 3y = 6

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

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

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

Divide each side by '3'.
y = 1

Simplifying
y = 1