7y+2(4y-3)=9(y-4)

Solution for 7y+2(4y-3)=9(y-4) equation:

Simplifying
7y + 2(4y + -3) = 9(y + -4)

Reorder the terms:
7y + 2(-3 + 4y) = 9(y + -4)
7y + (-3 * 2 + 4y * 2) = 9(y + -4)
7y + (-6 + 8y) = 9(y + -4)

Reorder the terms:
-6 + 7y + 8y = 9(y + -4)

Combine like terms: 7y + 8y = 15y
-6 + 15y = 9(y + -4)

Reorder the terms:
-6 + 15y = 9(-4 + y)
-6 + 15y = (-4 * 9 + y * 9)
-6 + 15y = (-36 + 9y)

Solving
-6 + 15y = -36 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 15y + -9y = -36 + 9y + -9y

Combine like terms: 15y + -9y = 6y
-6 + 6y = -36 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + 6y = -36 + 0
-6 + 6y = -36

Add '6' to each side of the equation.
-6 + 6 + 6y = -36 + 6

Combine like terms: -6 + 6 = 0
0 + 6y = -36 + 6
6y = -36 + 6

Combine like terms: -36 + 6 = -30
6y = -30

Divide each side by '6'.
y = -5

Simplifying
y = -5