3y-2(y-3)=10

Solution for 3y-2(y-3)=10 equation:

Simplifying
3y + -2(y + -3) = 10

Reorder the terms:
3y + -2(-3 + y) = 10
3y + (-3 * -2 + y * -2) = 10
3y + (6 + -2y) = 10

Reorder the terms:
6 + 3y + -2y = 10

Combine like terms: 3y + -2y = 1y
6 + 1y = 10

Solving
6 + 1y = 10

Solving for variable 'y'.

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

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 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4