(5y+6)-(3+4y)=10

Solution for (5y+6)-(3+4y)=10 equation:

Simplifying
(5y + 6) + -1(3 + 4y) = 10

Reorder the terms:
(6 + 5y) + -1(3 + 4y) = 10

Remove parenthesis around (6 + 5y)
6 + 5y + -1(3 + 4y) = 10
6 + 5y + (3 * -1 + 4y * -1) = 10
6 + 5y + (-3 + -4y) = 10

Reorder the terms:
6 + -3 + 5y + -4y = 10

Combine like terms: 6 + -3 = 3
3 + 5y + -4y = 10

Combine like terms: 5y + -4y = 1y
3 + 1y = 10

Solving
3 + 1y = 10

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 = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 10 + -3
1y = 10 + -3

Combine like terms: 10 + -3 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7