3y-7(y-7)=8-6(y-4)

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Solution for 3y-7(y-7)=8-6(y-4) equation:


Simplifying
3y + -7(y + -7) = 8 + -6(y + -4)

Reorder the terms:
3y + -7(-7 + y) = 8 + -6(y + -4)
3y + (-7 * -7 + y * -7) = 8 + -6(y + -4)
3y + (49 + -7y) = 8 + -6(y + -4)

Reorder the terms:
49 + 3y + -7y = 8 + -6(y + -4)

Combine like terms: 3y + -7y = -4y
49 + -4y = 8 + -6(y + -4)

Reorder the terms:
49 + -4y = 8 + -6(-4 + y)
49 + -4y = 8 + (-4 * -6 + y * -6)
49 + -4y = 8 + (24 + -6y)

Combine like terms: 8 + 24 = 32
49 + -4y = 32 + -6y

Solving
49 + -4y = 32 + -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.
49 + -4y + 6y = 32 + -6y + 6y

Combine like terms: -4y + 6y = 2y
49 + 2y = 32 + -6y + 6y

Combine like terms: -6y + 6y = 0
49 + 2y = 32 + 0
49 + 2y = 32

Add '-49' to each side of the equation.
49 + -49 + 2y = 32 + -49

Combine like terms: 49 + -49 = 0
0 + 2y = 32 + -49
2y = 32 + -49

Combine like terms: 32 + -49 = -17
2y = -17

Divide each side by '2'.
y = -8.5

Simplifying
y = -8.5

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