(4y+6)-(3+3y)=5

Solution for (4y+6)-(3+3y)=5 equation:

Simplifying
(4y + 6) + -1(3 + 3y) = 5

Reorder the terms:
(6 + 4y) + -1(3 + 3y) = 5

Remove parenthesis around (6 + 4y)
6 + 4y + -1(3 + 3y) = 5
6 + 4y + (3 * -1 + 3y * -1) = 5
6 + 4y + (-3 + -3y) = 5

Reorder the terms:
6 + -3 + 4y + -3y = 5

Combine like terms: 6 + -3 = 3
3 + 4y + -3y = 5

Combine like terms: 4y + -3y = 1y
3 + 1y = 5

Solving
3 + 1y = 5

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 5 + -3
1y = 5 + -3

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

Divide each side by '1'.
y = 2

Simplifying
y = 2