5y+10(y-5)=10

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

Simplifying
5y + 10(y + -5) = 10

Reorder the terms:
5y + 10(-5 + y) = 10
5y + (-5 * 10 + y * 10) = 10
5y + (-50 + 10y) = 10

Reorder the terms:
-50 + 5y + 10y = 10

Combine like terms: 5y + 10y = 15y
-50 + 15y = 10

Solving
-50 + 15y = 10

Solving for variable 'y'.

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

Add '50' to each side of the equation.
-50 + 50 + 15y = 10 + 50

Combine like terms: -50 + 50 = 0
0 + 15y = 10 + 50
15y = 10 + 50

Combine like terms: 10 + 50 = 60
15y = 60

Divide each side by '15'.
y = 4

Simplifying
y = 4