8y-6(y-7)=7-2(y-6)

Solution for 8y-6(y-7)=7-2(y-6) equation:

Simplifying
8y + -6(y + -7) = 7 + -2(y + -6)

Reorder the terms:
8y + -6(-7 + y) = 7 + -2(y + -6)
8y + (-7 * -6 + y * -6) = 7 + -2(y + -6)
8y + (42 + -6y) = 7 + -2(y + -6)

Reorder the terms:
42 + 8y + -6y = 7 + -2(y + -6)

Combine like terms: 8y + -6y = 2y
42 + 2y = 7 + -2(y + -6)

Reorder the terms:
42 + 2y = 7 + -2(-6 + y)
42 + 2y = 7 + (-6 * -2 + y * -2)
42 + 2y = 7 + (12 + -2y)

Combine like terms: 7 + 12 = 19
42 + 2y = 19 + -2y

Solving
42 + 2y = 19 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
42 + 2y + 2y = 19 + -2y + 2y

Combine like terms: 2y + 2y = 4y
42 + 4y = 19 + -2y + 2y

Combine like terms: -2y + 2y = 0
42 + 4y = 19 + 0
42 + 4y = 19

Add '-42' to each side of the equation.
42 + -42 + 4y = 19 + -42

Combine like terms: 42 + -42 = 0
0 + 4y = 19 + -42
4y = 19 + -42

Combine like terms: 19 + -42 = -23
4y = -23

Divide each side by '4'.
y = -5.75

Simplifying
y = -5.75