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

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

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

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

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

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

Combine like terms: 5y + -4y = 1y
6 + -3k + 1y = 10

Solving
6 + -3k + 1y = 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 + -3k + -6 + 1y = 10 + -6

Reorder the terms:
6 + -6 + -3k + 1y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -3k + 1y = 10 + -6
-3k + 1y = 10 + -6

Combine like terms: 10 + -6 = 4
-3k + 1y = 4

Add '-1y' to each side of the equation.
-3k + 1y + -1y = 4 + -1y

Combine like terms: 1y + -1y = 0
-3k + 0 = 4 + -1y
-3k = 4 + -1y

Divide each side by '-3'.
k = -1.333333333 + 0.3333333333y

Simplifying
k = -1.333333333 + 0.3333333333y