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

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

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

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

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

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

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

Combine like terms: 6 + 3 = 9
9 + 5y + 4y = 10

Combine like terms: 5y + 4y = 9y
9 + 9y = 10

Solving
9 + 9y = 10

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 9y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 9y = 10 + -9
9y = 10 + -9

Combine like terms: 10 + -9 = 1
9y = 1

Divide each side by '9'.
y = 0.1111111111

Simplifying
y = 0.1111111111