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

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

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

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

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

Combine like terms: 3y + -2y = 1y
6 + 1y = 5y + 2

Reorder the terms:
6 + 1y = 2 + 5y

Solving
6 + 1y = 2 + 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 + 1y + -5y = 2 + 5y + -5y

Combine like terms: 1y + -5y = -4y
6 + -4y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -4y = 2 + 0
6 + -4y = 2

Add '-6' to each side of the equation.
6 + -6 + -4y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = 2 + -6
-4y = 2 + -6

Combine like terms: 2 + -6 = -4
-4y = -4

Divide each side by '-4'.
y = 1

Simplifying
y = 1