9y-3(6-5)=y-2(3y+9)

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Solution for 9y-3(6-5)=y-2(3y+9) equation:


Simplifying
9y + -3(6 + -5) = y + -2(3y + 9)

Combine like terms: 6 + -5 = 1
9y + -3(1) = y + -2(3y + 9)

Multiply -3 * 1
9y + -3 = y + -2(3y + 9)

Reorder the terms:
-3 + 9y = y + -2(3y + 9)

Reorder the terms:
-3 + 9y = y + -2(9 + 3y)
-3 + 9y = y + (9 * -2 + 3y * -2)
-3 + 9y = y + (-18 + -6y)

Reorder the terms:
-3 + 9y = -18 + y + -6y

Combine like terms: y + -6y = -5y
-3 + 9y = -18 + -5y

Solving
-3 + 9y = -18 + -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.
-3 + 9y + 5y = -18 + -5y + 5y

Combine like terms: 9y + 5y = 14y
-3 + 14y = -18 + -5y + 5y

Combine like terms: -5y + 5y = 0
-3 + 14y = -18 + 0
-3 + 14y = -18

Add '3' to each side of the equation.
-3 + 3 + 14y = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 14y = -18 + 3
14y = -18 + 3

Combine like terms: -18 + 3 = -15
14y = -15

Divide each side by '14'.
y = -1.071428571

Simplifying
y = -1.071428571

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