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

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


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

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

Reorder the terms:
-6 + -3y + -54y = -1 + 9(6 + -1y)

Combine like terms: -3y + -54y = -57y
-6 + -57y = -1 + 9(6 + -1y)
-6 + -57y = -1 + (6 * 9 + -1y * 9)
-6 + -57y = -1 + (54 + -9y)

Combine like terms: -1 + 54 = 53
-6 + -57y = 53 + -9y

Solving
-6 + -57y = 53 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-6 + -57y + 9y = 53 + -9y + 9y

Combine like terms: -57y + 9y = -48y
-6 + -48y = 53 + -9y + 9y

Combine like terms: -9y + 9y = 0
-6 + -48y = 53 + 0
-6 + -48y = 53

Add '6' to each side of the equation.
-6 + 6 + -48y = 53 + 6

Combine like terms: -6 + 6 = 0
0 + -48y = 53 + 6
-48y = 53 + 6

Combine like terms: 53 + 6 = 59
-48y = 59

Divide each side by '-48'.
y = -1.229166667

Simplifying
y = -1.229166667

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