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

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

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

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

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

Combine like terms: 5k + -3k = 2k
6 + 2k + -4y = 10

Solving
6 + 2k + -4y = 10

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + 2k + -6 + -4y = 10 + -6

Reorder the terms:
6 + -6 + 2k + -4y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2k + -4y = 10 + -6
2k + -4y = 10 + -6

Combine like terms: 10 + -6 = 4
2k + -4y = 4

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

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

Divide each side by '2'.
k = 2 + 2y

Simplifying
k = 2 + 2y