8y-9(y-8)=5-6(y-8)

Solution for 8y-9(y-8)=5-6(y-8) equation:

Simplifying
8y + -9(y + -8) = 5 + -6(y + -8)

Reorder the terms:
8y + -9(-8 + y) = 5 + -6(y + -8)
8y + (-8 * -9 + y * -9) = 5 + -6(y + -8)
8y + (72 + -9y) = 5 + -6(y + -8)

Reorder the terms:
72 + 8y + -9y = 5 + -6(y + -8)

Combine like terms: 8y + -9y = -1y
72 + -1y = 5 + -6(y + -8)

Reorder the terms:
72 + -1y = 5 + -6(-8 + y)
72 + -1y = 5 + (-8 * -6 + y * -6)
72 + -1y = 5 + (48 + -6y)

Combine like terms: 5 + 48 = 53
72 + -1y = 53 + -6y

Solving
72 + -1y = 53 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
72 + -1y + 6y = 53 + -6y + 6y

Combine like terms: -1y + 6y = 5y
72 + 5y = 53 + -6y + 6y

Combine like terms: -6y + 6y = 0
72 + 5y = 53 + 0
72 + 5y = 53

Add '-72' to each side of the equation.
72 + -72 + 5y = 53 + -72

Combine like terms: 72 + -72 = 0
0 + 5y = 53 + -72
5y = 53 + -72

Combine like terms: 53 + -72 = -19
5y = -19

Divide each side by '5'.
y = -3.8

Simplifying
y = -3.8