-2y+9(-7y-6)=6-3(-1-y)

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Solution for -2y+9(-7y-6)=6-3(-1-y) equation:


Simplifying
-2y + 9(-7y + -6) = 6 + -3(-1 + -1y)

Reorder the terms:
-2y + 9(-6 + -7y) = 6 + -3(-1 + -1y)
-2y + (-6 * 9 + -7y * 9) = 6 + -3(-1 + -1y)
-2y + (-54 + -63y) = 6 + -3(-1 + -1y)

Reorder the terms:
-54 + -2y + -63y = 6 + -3(-1 + -1y)

Combine like terms: -2y + -63y = -65y
-54 + -65y = 6 + -3(-1 + -1y)
-54 + -65y = 6 + (-1 * -3 + -1y * -3)
-54 + -65y = 6 + (3 + 3y)

Combine like terms: 6 + 3 = 9
-54 + -65y = 9 + 3y

Solving
-54 + -65y = 9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-54 + -65y + -3y = 9 + 3y + -3y

Combine like terms: -65y + -3y = -68y
-54 + -68y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-54 + -68y = 9 + 0
-54 + -68y = 9

Add '54' to each side of the equation.
-54 + 54 + -68y = 9 + 54

Combine like terms: -54 + 54 = 0
0 + -68y = 9 + 54
-68y = 9 + 54

Combine like terms: 9 + 54 = 63
-68y = 63

Divide each side by '-68'.
y = -0.9264705882

Simplifying
y = -0.9264705882

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