2(y+1)-5(y-3)=5

Solution for 2(y+1)-5(y-3)=5 equation:

Simplifying
2(y + 1) + -5(y + -3) = 5

Reorder the terms:
2(1 + y) + -5(y + -3) = 5
(1 * 2 + y * 2) + -5(y + -3) = 5
(2 + 2y) + -5(y + -3) = 5

Reorder the terms:
2 + 2y + -5(-3 + y) = 5
2 + 2y + (-3 * -5 + y * -5) = 5
2 + 2y + (15 + -5y) = 5

Reorder the terms:
2 + 15 + 2y + -5y = 5

Combine like terms: 2 + 15 = 17
17 + 2y + -5y = 5

Combine like terms: 2y + -5y = -3y
17 + -3y = 5

Solving
17 + -3y = 5

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + -3y = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -3y = 5 + -17
-3y = 5 + -17

Combine like terms: 5 + -17 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4