y-6(y-7)=(-8y+10)-5

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Solution for y-6(y-7)=(-8y+10)-5 equation: 


Simplifying
y + -6(y + -7) = (-8y + 10) + -5

Reorder the terms:
y + -6(-7 + y) = (-8y + 10) + -5
y + (-7 * -6 + y * -6) = (-8y + 10) + -5
y + (42 + -6y) = (-8y + 10) + -5

Reorder the terms:
42 + y + -6y = (-8y + 10) + -5

Combine like terms: y + -6y = -5y
42 + -5y = (-8y + 10) + -5

Reorder the terms:
42 + -5y = (10 + -8y) + -5

Remove parenthesis around (10 + -8y)
42 + -5y = 10 + -8y + -5

Reorder the terms:
42 + -5y = 10 + -5 + -8y

Combine like terms: 10 + -5 = 5
42 + -5y = 5 + -8y

Solving
42 + -5y = 5 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
42 + -5y + 8y = 5 + -8y + 8y

Combine like terms: -5y + 8y = 3y
42 + 3y = 5 + -8y + 8y

Combine like terms: -8y + 8y = 0
42 + 3y = 5 + 0
42 + 3y = 5

Add '-42' to each side of the equation.
42 + -42 + 3y = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 3y = 5 + -42
3y = 5 + -42

Combine like terms: 5 + -42 = -37
3y = -37

Divide each side by '3'.
y = -12.33333333

Simplifying
y = -12.33333333

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