7(y-8)+24=1.72(y-6)

Solution for 7(y-8)+24=1.72(y-6) equation:

Simplifying
7(y + -8) + 24 = 1.72(y + -6)

Reorder the terms:
7(-8 + y) + 24 = 1.72(y + -6)
(-8 * 7 + y * 7) + 24 = 1.72(y + -6)
(-56 + 7y) + 24 = 1.72(y + -6)

Reorder the terms:
-56 + 24 + 7y = 1.72(y + -6)

Combine like terms: -56 + 24 = -32
-32 + 7y = 1.72(y + -6)

Reorder the terms:
-32 + 7y = 1.72(-6 + y)
-32 + 7y = (-6 * 1.72 + y * 1.72)
-32 + 7y = (-10.32 + 1.72y)

Solving
-32 + 7y = -10.32 + 1.72y

Solving for variable 'y'.

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

Add '-1.72y' to each side of the equation.
-32 + 7y + -1.72y = -10.32 + 1.72y + -1.72y

Combine like terms: 7y + -1.72y = 5.28y
-32 + 5.28y = -10.32 + 1.72y + -1.72y

Combine like terms: 1.72y + -1.72y = 0.00
-32 + 5.28y = -10.32 + 0.00
-32 + 5.28y = -10.32

Add '32' to each side of the equation.
-32 + 32 + 5.28y = -10.32 + 32

Combine like terms: -32 + 32 = 0
0 + 5.28y = -10.32 + 32
5.28y = -10.32 + 32

Combine like terms: -10.32 + 32 = 21.68
5.28y = 21.68

Divide each side by '5.28'.
y = 4.106060606

Simplifying
y = 4.106060606