12(5+2y)=4y-(6+9y)

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Solution for 12(5+2y)=4y-(6+9y) equation:


Simplifying
12(5 + 2y) = 4y + -1(6 + 9y)
(5 * 12 + 2y * 12) = 4y + -1(6 + 9y)
(60 + 24y) = 4y + -1(6 + 9y)
60 + 24y = 4y + (6 * -1 + 9y * -1)
60 + 24y = 4y + (-6 + -9y)

Reorder the terms:
60 + 24y = -6 + 4y + -9y

Combine like terms: 4y + -9y = -5y
60 + 24y = -6 + -5y

Solving
60 + 24y = -6 + -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.
60 + 24y + 5y = -6 + -5y + 5y

Combine like terms: 24y + 5y = 29y
60 + 29y = -6 + -5y + 5y

Combine like terms: -5y + 5y = 0
60 + 29y = -6 + 0
60 + 29y = -6

Add '-60' to each side of the equation.
60 + -60 + 29y = -6 + -60

Combine like terms: 60 + -60 = 0
0 + 29y = -6 + -60
29y = -6 + -60

Combine like terms: -6 + -60 = -66
29y = -66

Divide each side by '29'.
y = -2.275862069

Simplifying
y = -2.275862069

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