-3y-9(3y-5)=-6+7(-7-y)

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Solution for -3y-9(3y-5)=-6+7(-7-y) equation: 


Simplifying
-3y + -9(3y + -5) = -6 + 7(-7 + -1y)

Reorder the terms:
-3y + -9(-5 + 3y) = -6 + 7(-7 + -1y)
-3y + (-5 * -9 + 3y * -9) = -6 + 7(-7 + -1y)
-3y + (45 + -27y) = -6 + 7(-7 + -1y)

Reorder the terms:
45 + -3y + -27y = -6 + 7(-7 + -1y)

Combine like terms: -3y + -27y = -30y
45 + -30y = -6 + 7(-7 + -1y)
45 + -30y = -6 + (-7 * 7 + -1y * 7)
45 + -30y = -6 + (-49 + -7y)

Combine like terms: -6 + -49 = -55
45 + -30y = -55 + -7y

Solving
45 + -30y = -55 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
45 + -30y + 7y = -55 + -7y + 7y

Combine like terms: -30y + 7y = -23y
45 + -23y = -55 + -7y + 7y

Combine like terms: -7y + 7y = 0
45 + -23y = -55 + 0
45 + -23y = -55

Add '-45' to each side of the equation.
45 + -45 + -23y = -55 + -45

Combine like terms: 45 + -45 = 0
0 + -23y = -55 + -45
-23y = -55 + -45

Combine like terms: -55 + -45 = -100
-23y = -100

Divide each side by '-23'.
y = 4.347826087

Simplifying
y = 4.347826087

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