10y-(5y-8)=42

Solution for 10y-(5y-8)=42 equation:

Simplifying
10y + -1(5y + -8) = 42

Reorder the terms:
10y + -1(-8 + 5y) = 42
10y + (-8 * -1 + 5y * -1) = 42
10y + (8 + -5y) = 42

Reorder the terms:
8 + 10y + -5y = 42

Combine like terms: 10y + -5y = 5y
8 + 5y = 42

Solving
8 + 5y = 42

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 5y = 42 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = 42 + -8
5y = 42 + -8

Combine like terms: 42 + -8 = 34
5y = 34

Divide each side by '5'.
y = 6.8

Simplifying
y = 6.8