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

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


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

Reorder the terms:
-3y + 6(5 + 6y) = -9 + -7(9 + -1y)
-3y + (5 * 6 + 6y * 6) = -9 + -7(9 + -1y)
-3y + (30 + 36y) = -9 + -7(9 + -1y)

Reorder the terms:
30 + -3y + 36y = -9 + -7(9 + -1y)

Combine like terms: -3y + 36y = 33y
30 + 33y = -9 + -7(9 + -1y)
30 + 33y = -9 + (9 * -7 + -1y * -7)
30 + 33y = -9 + (-63 + 7y)

Combine like terms: -9 + -63 = -72
30 + 33y = -72 + 7y

Solving
30 + 33y = -72 + 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.
30 + 33y + -7y = -72 + 7y + -7y

Combine like terms: 33y + -7y = 26y
30 + 26y = -72 + 7y + -7y

Combine like terms: 7y + -7y = 0
30 + 26y = -72 + 0
30 + 26y = -72

Add '-30' to each side of the equation.
30 + -30 + 26y = -72 + -30

Combine like terms: 30 + -30 = 0
0 + 26y = -72 + -30
26y = -72 + -30

Combine like terms: -72 + -30 = -102
26y = -102

Divide each side by '26'.
y = -3.923076923

Simplifying
y = -3.923076923

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