8-(2y+9)=3(4y+-5)

Solution for 8-(2y+9)=3(4y+-5) equation:

Simplifying
8 + -1(2y + 9) = 3(4y + -5)

Reorder the terms:
8 + -1(9 + 2y) = 3(4y + -5)
8 + (9 * -1 + 2y * -1) = 3(4y + -5)
8 + (-9 + -2y) = 3(4y + -5)

Combine like terms: 8 + -9 = -1
-1 + -2y = 3(4y + -5)

Reorder the terms:
-1 + -2y = 3(-5 + 4y)
-1 + -2y = (-5 * 3 + 4y * 3)
-1 + -2y = (-15 + 12y)

Solving
-1 + -2y = -15 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-1 + -2y + -12y = -15 + 12y + -12y

Combine like terms: -2y + -12y = -14y
-1 + -14y = -15 + 12y + -12y

Combine like terms: 12y + -12y = 0
-1 + -14y = -15 + 0
-1 + -14y = -15

Add '1' to each side of the equation.
-1 + 1 + -14y = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -14y = -15 + 1
-14y = -15 + 1

Combine like terms: -15 + 1 = -14
-14y = -14

Divide each side by '-14'.
y = 1

Simplifying
y = 1