2(y+9)=-3(y-6)-10

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Solution for 2(y+9)=-3(y-6)-10 equation:


Simplifying
2(y + 9) = -3(y + -6) + -10

Reorder the terms:
2(9 + y) = -3(y + -6) + -10
(9 * 2 + y * 2) = -3(y + -6) + -10
(18 + 2y) = -3(y + -6) + -10

Reorder the terms:
18 + 2y = -3(-6 + y) + -10
18 + 2y = (-6 * -3 + y * -3) + -10
18 + 2y = (18 + -3y) + -10

Reorder the terms:
18 + 2y = 18 + -10 + -3y

Combine like terms: 18 + -10 = 8
18 + 2y = 8 + -3y

Solving
18 + 2y = 8 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
18 + 2y + 3y = 8 + -3y + 3y

Combine like terms: 2y + 3y = 5y
18 + 5y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + 5y = 8 + 0
18 + 5y = 8

Add '-18' to each side of the equation.
18 + -18 + 5y = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = 8 + -18
5y = 8 + -18

Combine like terms: 8 + -18 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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