(4y+6)-(2+3y)=5

Solution for (4y+6)-(2+3y)=5 equation:

Simplifying
(4y + 6) + -1(2 + 3y) = 5

Reorder the terms:
(6 + 4y) + -1(2 + 3y) = 5

Remove parenthesis around (6 + 4y)
6 + 4y + -1(2 + 3y) = 5
6 + 4y + (2 * -1 + 3y * -1) = 5
6 + 4y + (-2 + -3y) = 5

Reorder the terms:
6 + -2 + 4y + -3y = 5

Combine like terms: 6 + -2 = 4
4 + 4y + -3y = 5

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

Solving
4 + 1y = 5

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 1y = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = 5 + -4
1y = 5 + -4

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

Divide each side by '1'.
y = 1

Simplifying
y = 1