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

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

Simplifying
5y + 6 + -1(-3 + 4y) = 10
5y + 6 + (-3 * -1 + 4y * -1) = 10
5y + 6 + (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 = 1y
9 + 1y = 10

Solving
9 + 1y = 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 + 1y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = 10 + -9
1y = 10 + -9

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

Divide each side by '1'.
y = 1

Simplifying
y = 1