4(y-1)-(y-5)=10

Solution for 4(y-1)-(y-5)=10 equation:

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

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

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

Reorder the terms:
-4 + 5 + 4y + -1y = 10

Combine like terms: -4 + 5 = 1
1 + 4y + -1y = 10

Combine like terms: 4y + -1y = 3y
1 + 3y = 10

Solving
1 + 3y = 10

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 3y = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 10 + -1
3y = 10 + -1

Combine like terms: 10 + -1 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3