7y+1-2(-2y-1)=3(y-1)

Solution for 7y+1-2(-2y-1)=3(y-1) equation:

Simplifying
7y + 1 + -2(-2y + -1) = 3(y + -1)

Reorder the terms:
7y + 1 + -2(-1 + -2y) = 3(y + -1)
7y + 1 + (-1 * -2 + -2y * -2) = 3(y + -1)
7y + 1 + (2 + 4y) = 3(y + -1)

Reorder the terms:
1 + 2 + 7y + 4y = 3(y + -1)

Combine like terms: 1 + 2 = 3
3 + 7y + 4y = 3(y + -1)

Combine like terms: 7y + 4y = 11y
3 + 11y = 3(y + -1)

Reorder the terms:
3 + 11y = 3(-1 + y)
3 + 11y = (-1 * 3 + y * 3)
3 + 11y = (-3 + 3y)

Solving
3 + 11y = -3 + 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.
3 + 11y + -3y = -3 + 3y + -3y

Combine like terms: 11y + -3y = 8y
3 + 8y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + 8y = -3 + 0
3 + 8y = -3

Add '-3' to each side of the equation.
3 + -3 + 8y = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 8y = -3 + -3
8y = -3 + -3

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

Divide each side by '8'.
y = -0.75

Simplifying
y = -0.75