9(y+2)=-6(y+7)

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Solution for 9(y+2)=-6(y+7) equation:


Simplifying
9(y + 2) = -6(y + 7)

Reorder the terms:
9(2 + y) = -6(y + 7)
(2 * 9 + y * 9) = -6(y + 7)
(18 + 9y) = -6(y + 7)

Reorder the terms:
18 + 9y = -6(7 + y)
18 + 9y = (7 * -6 + y * -6)
18 + 9y = (-42 + -6y)

Solving
18 + 9y = -42 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
18 + 9y + 6y = -42 + -6y + 6y

Combine like terms: 9y + 6y = 15y
18 + 15y = -42 + -6y + 6y

Combine like terms: -6y + 6y = 0
18 + 15y = -42 + 0
18 + 15y = -42

Add '-18' to each side of the equation.
18 + -18 + 15y = -42 + -18

Combine like terms: 18 + -18 = 0
0 + 15y = -42 + -18
15y = -42 + -18

Combine like terms: -42 + -18 = -60
15y = -60

Divide each side by '15'.
y = -4

Simplifying
y = -4

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