-3(9y-2)+7y=-6(y+1)

Solution for -3(9y-2)+7y=-6(y+1) equation:

Simplifying
-3(9y + -2) + 7y = -6(y + 1)

Reorder the terms:
-3(-2 + 9y) + 7y = -6(y + 1)
(-2 * -3 + 9y * -3) + 7y = -6(y + 1)
(6 + -27y) + 7y = -6(y + 1)

Combine like terms: -27y + 7y = -20y
6 + -20y = -6(y + 1)

Reorder the terms:
6 + -20y = -6(1 + y)
6 + -20y = (1 * -6 + y * -6)
6 + -20y = (-6 + -6y)

Solving
6 + -20y = -6 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + -20y + 6y = -6 + -6y + 6y

Combine like terms: -20y + 6y = -14y
6 + -14y = -6 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + -14y = -6 + 0
6 + -14y = -6

Add '-6' to each side of the equation.
6 + -6 + -14y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = -6 + -6
-14y = -6 + -6

Combine like terms: -6 + -6 = -12
-14y = -12

Divide each side by '-14'.
y = 0.8571428571

Simplifying
y = 0.8571428571