y+4(7y-2)+5=9(2y-3)-3(y-72)

Solution for y+4(7y-2)+5=9(2y-3)-3(y-72) equation:

Simplifying
y + 4(7y + -2) + 5 = 9(2y + -3) + -3(y + -72)

Reorder the terms:
y + 4(-2 + 7y) + 5 = 9(2y + -3) + -3(y + -72)
y + (-2 * 4 + 7y * 4) + 5 = 9(2y + -3) + -3(y + -72)
y + (-8 + 28y) + 5 = 9(2y + -3) + -3(y + -72)

Reorder the terms:
-8 + 5 + y + 28y = 9(2y + -3) + -3(y + -72)

Combine like terms: -8 + 5 = -3
-3 + y + 28y = 9(2y + -3) + -3(y + -72)

Combine like terms: y + 28y = 29y
-3 + 29y = 9(2y + -3) + -3(y + -72)

Reorder the terms:
-3 + 29y = 9(-3 + 2y) + -3(y + -72)
-3 + 29y = (-3 * 9 + 2y * 9) + -3(y + -72)
-3 + 29y = (-27 + 18y) + -3(y + -72)

Reorder the terms:
-3 + 29y = -27 + 18y + -3(-72 + y)
-3 + 29y = -27 + 18y + (-72 * -3 + y * -3)
-3 + 29y = -27 + 18y + (216 + -3y)

Reorder the terms:
-3 + 29y = -27 + 216 + 18y + -3y

Combine like terms: -27 + 216 = 189
-3 + 29y = 189 + 18y + -3y

Combine like terms: 18y + -3y = 15y
-3 + 29y = 189 + 15y

Solving
-3 + 29y = 189 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-3 + 29y + -15y = 189 + 15y + -15y

Combine like terms: 29y + -15y = 14y
-3 + 14y = 189 + 15y + -15y

Combine like terms: 15y + -15y = 0
-3 + 14y = 189 + 0
-3 + 14y = 189

Add '3' to each side of the equation.
-3 + 3 + 14y = 189 + 3

Combine like terms: -3 + 3 = 0
0 + 14y = 189 + 3
14y = 189 + 3

Combine like terms: 189 + 3 = 192
14y = 192

Divide each side by '14'.
y = 13.71428571

Simplifying
y = 13.71428571