5y+3(y-2)=26

Solution for 5y+3(y-2)=26 equation:

Simplifying
5y + 3(y + -2) = 26

Reorder the terms:
5y + 3(-2 + y) = 26
5y + (-2 * 3 + y * 3) = 26
5y + (-6 + 3y) = 26

Reorder the terms:
-6 + 5y + 3y = 26

Combine like terms: 5y + 3y = 8y
-6 + 8y = 26

Solving
-6 + 8y = 26

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 8y = 26 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = 26 + 6
8y = 26 + 6

Combine like terms: 26 + 6 = 32
8y = 32

Divide each side by '8'.
y = 4

Simplifying
y = 4