7y+6=4(y-1)

Solution for 7y+6=4(y-1) equation:

Simplifying
7y + 6 = 4(y + -1)

Reorder the terms:
6 + 7y = 4(y + -1)

Reorder the terms:
6 + 7y = 4(-1 + y)
6 + 7y = (-1 * 4 + y * 4)
6 + 7y = (-4 + 4y)

Solving
6 + 7y = -4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + 7y + -4y = -4 + 4y + -4y

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

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

Add '-6' to each side of the equation.
6 + -6 + 3y = -4 + -6

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

Combine like terms: -4 + -6 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333