7y-26=3(y-2)

Solution for 7y-26=3(y-2) equation:

Simplifying
7y + -26 = 3(y + -2)

Reorder the terms:
-26 + 7y = 3(y + -2)

Reorder the terms:
-26 + 7y = 3(-2 + y)
-26 + 7y = (-2 * 3 + y * 3)
-26 + 7y = (-6 + 3y)

Solving
-26 + 7y = -6 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-26 + 7y + -3y = -6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-26 + 4y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-26 + 4y = -6 + 0
-26 + 4y = -6

Add '26' to each side of the equation.
-26 + 26 + 4y = -6 + 26

Combine like terms: -26 + 26 = 0
0 + 4y = -6 + 26
4y = -6 + 26

Combine like terms: -6 + 26 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5