4(y-7)-7y=-1

Solution for 4(y-7)-7y=-1 equation:

Simplifying
4(y + -7) + -7y = -1

Reorder the terms:
4(-7 + y) + -7y = -1
(-7 * 4 + y * 4) + -7y = -1
(-28 + 4y) + -7y = -1

Combine like terms: 4y + -7y = -3y
-28 + -3y = -1

Solving
-28 + -3y = -1

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + -3y = -1 + 28

Combine like terms: -28 + 28 = 0
0 + -3y = -1 + 28
-3y = -1 + 28

Combine like terms: -1 + 28 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9