(7y+1)-(-y+7)=3y-26

Solution for (7y+1)-(-y+7)=3y-26 equation:

Simplifying
(7y + 1) + -1(-1y + 7) = 3y + -26

Reorder the terms:
(1 + 7y) + -1(-1y + 7) = 3y + -26

Remove parenthesis around (1 + 7y)
1 + 7y + -1(-1y + 7) = 3y + -26

Reorder the terms:
1 + 7y + -1(7 + -1y) = 3y + -26
1 + 7y + (7 * -1 + -1y * -1) = 3y + -26
1 + 7y + (-7 + 1y) = 3y + -26

Reorder the terms:
1 + -7 + 7y + 1y = 3y + -26

Combine like terms: 1 + -7 = -6
-6 + 7y + 1y = 3y + -26

Combine like terms: 7y + 1y = 8y
-6 + 8y = 3y + -26

Reorder the terms:
-6 + 8y = -26 + 3y

Solving
-6 + 8y = -26 + 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.
-6 + 8y + -3y = -26 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-6 + 5y = -26 + 0
-6 + 5y = -26

Add '6' to each side of the equation.
-6 + 6 + 5y = -26 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = -26 + 6
5y = -26 + 6

Combine like terms: -26 + 6 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4