6+3(5y-9)=-4(-2y+1)+6

Solution for 6+3(5y-9)=-4(-2y+1)+6 equation:

Simplifying
6 + 3(5y + -9) = -4(-2y + 1) + 6

Reorder the terms:
6 + 3(-9 + 5y) = -4(-2y + 1) + 6
6 + (-9 * 3 + 5y * 3) = -4(-2y + 1) + 6
6 + (-27 + 15y) = -4(-2y + 1) + 6

Combine like terms: 6 + -27 = -21
-21 + 15y = -4(-2y + 1) + 6

Reorder the terms:
-21 + 15y = -4(1 + -2y) + 6
-21 + 15y = (1 * -4 + -2y * -4) + 6
-21 + 15y = (-4 + 8y) + 6

Reorder the terms:
-21 + 15y = -4 + 6 + 8y

Combine like terms: -4 + 6 = 2
-21 + 15y = 2 + 8y

Solving
-21 + 15y = 2 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-21 + 15y + -8y = 2 + 8y + -8y

Combine like terms: 15y + -8y = 7y
-21 + 7y = 2 + 8y + -8y

Combine like terms: 8y + -8y = 0
-21 + 7y = 2 + 0
-21 + 7y = 2

Add '21' to each side of the equation.
-21 + 21 + 7y = 2 + 21

Combine like terms: -21 + 21 = 0
0 + 7y = 2 + 21
7y = 2 + 21

Combine like terms: 2 + 21 = 23
7y = 23

Divide each side by '7'.
y = 3.285714286

Simplifying
y = 3.285714286