9(y+4)=-6y+21

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Solution for 9(y+4)=-6y+21 equation:


Simplifying
9(y + 4) = -6y + 21

Reorder the terms:
9(4 + y) = -6y + 21
(4 * 9 + y * 9) = -6y + 21
(36 + 9y) = -6y + 21

Reorder the terms:
36 + 9y = 21 + -6y

Solving
36 + 9y = 21 + -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.
36 + 9y + 6y = 21 + -6y + 6y

Combine like terms: 9y + 6y = 15y
36 + 15y = 21 + -6y + 6y

Combine like terms: -6y + 6y = 0
36 + 15y = 21 + 0
36 + 15y = 21

Add '-36' to each side of the equation.
36 + -36 + 15y = 21 + -36

Combine like terms: 36 + -36 = 0
0 + 15y = 21 + -36
15y = 21 + -36

Combine like terms: 21 + -36 = -15
15y = -15

Divide each side by '15'.
y = -1

Simplifying
y = -1

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