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

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

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

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

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

Combine like terms: 3y + 4y = 7y
6 + 5y + -1(7y) = 10

Remove parenthesis around (7y)
6 + 5y + -1 * 7y = 10

Multiply -1 * 7
6 + 5y + -7y = 10

Combine like terms: 5y + -7y = -2y
6 + -2y = 10

Solving
6 + -2y = 10

Solving for variable 'y'.

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

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

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

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

Divide each side by '-2'.
y = -2

Simplifying
y = -2