-3y-7(-1y-7)=-8+5(5-y)

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Solution for -3y-7(-1y-7)=-8+5(5-y) equation:


Simplifying
-3y + -7(-1y + -7) = -8 + 5(5 + -1y)

Reorder the terms:
-3y + -7(-7 + -1y) = -8 + 5(5 + -1y)
-3y + (-7 * -7 + -1y * -7) = -8 + 5(5 + -1y)
-3y + (49 + 7y) = -8 + 5(5 + -1y)

Reorder the terms:
49 + -3y + 7y = -8 + 5(5 + -1y)

Combine like terms: -3y + 7y = 4y
49 + 4y = -8 + 5(5 + -1y)
49 + 4y = -8 + (5 * 5 + -1y * 5)
49 + 4y = -8 + (25 + -5y)

Combine like terms: -8 + 25 = 17
49 + 4y = 17 + -5y

Solving
49 + 4y = 17 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
49 + 4y + 5y = 17 + -5y + 5y

Combine like terms: 4y + 5y = 9y
49 + 9y = 17 + -5y + 5y

Combine like terms: -5y + 5y = 0
49 + 9y = 17 + 0
49 + 9y = 17

Add '-49' to each side of the equation.
49 + -49 + 9y = 17 + -49

Combine like terms: 49 + -49 = 0
0 + 9y = 17 + -49
9y = 17 + -49

Combine like terms: 17 + -49 = -32
9y = -32

Divide each side by '9'.
y = -3.555555556

Simplifying
y = -3.555555556

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