2(y-3)=y+5

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

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

Reorder the terms:
2(-3 + y) = y + 5
(-3 * 2 + y * 2) = y + 5
(-6 + 2y) = y + 5

Reorder the terms:
-6 + 2y = 5 + y

Solving
-6 + 2y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 2y + -1y = 5 + y + -1y

Combine like terms: 2y + -1y = 1y
-6 + 1y = 5 + y + -1y

Combine like terms: y + -1y = 0
-6 + 1y = 5 + 0
-6 + 1y = 5

Add '6' to each side of the equation.
-6 + 6 + 1y = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 5 + 6
1y = 5 + 6

Combine like terms: 5 + 6 = 11
1y = 11

Divide each side by '1'.
y = 11

Simplifying
y = 11